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25.6k
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stringclasses 1
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stringclasses 1
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listlengths 1
1
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stringclasses 1
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dict | extra_info
dict |
|---|---|---|---|---|---|---|---|---|
{"problem": {"rules": {"t": "r + 18", "m": "t + 10", "i": "m + 10", "g": "i + 16", "n": "g + 16", "a": "n + 1", "b": "r + 16", "p": "b + 3", "q": "p + 3", "h": "q + 19", "z": "h + 20", "y": "z + 12", "r": 5}, "premises": {"r": 5}, "target": "a"}, "answer": {"steps": [["n", "g + 16", "g + 17"], ["g", "i + 16", "i + 33"], ["i", "m + 10", "m + 43"], ["m", "t + 10", "t + 53"], ["t", "r + 18", "r + 71"], ["r", 5, "76"]], "target_var_name": "a", "target_value": 76, "value_dict": {"r": 5}, "is_reverse": true}}
| 24,700
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 3; i = m + 10; n = g + 16; t = r + 18; z = h + 20; b = r + 16; p = b + 3; g = i + 16; m = t + 10; r = 5; a = n + 1; y = z + 12; h = q + 19. If r = 5, what is the resulting value of a?",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = g + 16 to a, which gives a = g + 17.\n2. Substitute g = i + 16 to a, which gives a = i + 33.\n3. Substitute i = m + 10 to a, which gives a = m + 43.\n4. Substitute m = t + 10 to a, which gives a = t + 53.\n5. Substitute t = r + 18 to a, which gives a = r + 71.\n6. Substitute r = 5 to a, which gives a = 76.\n\nThus, the final answer is a = \\boxed{76}.",
"index": 24700,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = p + 3; i = m + 10; n = g + 16; t = r + 18; z = h + 20; b = r + 16; p = b + 3; g = i + 16; m = t + 10; r = 5; a = n + 1; y = z + 12; h = q + 19. If r = 5, what is the resulting value of a?",
"split": "train"
}
|
{"problem": {"rules": {"e": "b + 19", "v": "e + 7", "y": "v + 1", "m": "y + 12", "h": "m + 7", "o": "h + 1", "u": "b + 17", "x": "u + 16", "w": "x + 16", "n": "w + 2", "d": "n + 4", "j": "d + 18", "b": 8}, "premises": {"b": 8}, "target": "o"}, "answer": {"steps": [["h", "m + 7", "m + 8"], ["m", "y + 12", "y + 20"], ["y", "v + 1", "v + 21"], ["v", "e + 7", "e + 28"], ["e", "b + 19", "b + 47"], ["b", 8, "55"]], "target_var_name": "o", "target_value": 55, "value_dict": {"b": 8}, "is_reverse": true}}
| 24,701
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 12; d = n + 4; h = m + 7; v = e + 7; b = 8; w = x + 16; y = v + 1; n = w + 2; j = d + 18; e = b + 19; x = u + 16; o = h + 1; u = b + 17. If b = 8, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = m + 7 to o, which gives o = m + 8.\n2. Substitute m = y + 12 to o, which gives o = y + 20.\n3. Substitute y = v + 1 to o, which gives o = v + 21.\n4. Substitute v = e + 7 to o, which gives o = e + 28.\n5. Substitute e = b + 19 to o, which gives o = b + 47.\n6. Substitute b = 8 to o, which gives o = 55.\n\nThus, the final answer is o = \\boxed{55}.",
"index": 24701,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = y + 12; d = n + 4; h = m + 7; v = e + 7; b = 8; w = x + 16; y = v + 1; n = w + 2; j = d + 18; e = b + 19; x = u + 16; o = h + 1; u = b + 17. If b = 8, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"d": "m + 18", "u": "d + 15", "c": "u + 18", "v": "c + 5", "f": "v + 9", "a": "f + 6", "n": "m + 4", "o": "n + 7", "z": "o + 19", "s": "z + 1", "y": "s + 20", "g": "y + 17", "m": 2}, "premises": {"m": 2}, "target": "a"}, "answer": {"steps": [["f", "v + 9", "v + 15"], ["v", "c + 5", "c + 20"], ["c", "u + 18", "u + 38"], ["u", "d + 15", "d + 53"], ["d", "m + 18", "m + 71"], ["m", 2, "73"]], "target_var_name": "a", "target_value": 73, "value_dict": {"m": 2}, "is_reverse": true}}
| 24,702
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: y = s + 20; n = m + 4; z = o + 19; d = m + 18; g = y + 17; o = n + 7; v = c + 5; a = f + 6; c = u + 18; s = z + 1; u = d + 15; f = v + 9; m = 2. Given that m = 2, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = v + 9 to a, which gives a = v + 15.\n2. Substitute v = c + 5 to a, which gives a = c + 20.\n3. Substitute c = u + 18 to a, which gives a = u + 38.\n4. Substitute u = d + 15 to a, which gives a = d + 53.\n5. Substitute d = m + 18 to a, which gives a = m + 71.\n6. Substitute m = 2 to a, which gives a = 73.\n\nThus, the final answer is a = \\boxed{73}.",
"index": 24702,
"question": "Suppose a collection of variables is related by the following definitions: y = s + 20; n = m + 4; z = o + 19; d = m + 18; g = y + 17; o = n + 7; v = c + 5; a = f + 6; c = u + 18; s = z + 1; u = d + 15; f = v + 9; m = 2. Given that m = 2, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"j": "p + 5", "w": "j + 17", "o": "w + 8", "q": "o + 18", "l": "q + 16", "h": "l + 9", "a": "p + 2", "m": "a + 16", "t": "m + 14", "x": "t + 9", "c": "x + 7", "n": "c + 19", "p": 17}, "premises": {"p": 17}, "target": "h"}, "answer": {"steps": [["l", "q + 16", "q + 25"], ["q", "o + 18", "o + 43"], ["o", "w + 8", "w + 51"], ["w", "j + 17", "j + 68"], ["j", "p + 5", "p + 73"], ["p", 17, "90"]], "target_var_name": "h", "target_value": 90, "value_dict": {"p": 17}, "is_reverse": true}}
| 24,703
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = c + 19; t = m + 14; p = 17; a = p + 2; c = x + 7; x = t + 9; j = p + 5; w = j + 17; m = a + 16; l = q + 16; o = w + 8; q = o + 18; h = l + 9. Given that p = 17, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 90,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = q + 16 to h, which gives h = q + 25.\n2. Substitute q = o + 18 to h, which gives h = o + 43.\n3. Substitute o = w + 8 to h, which gives h = w + 51.\n4. Substitute w = j + 17 to h, which gives h = j + 68.\n5. Substitute j = p + 5 to h, which gives h = p + 73.\n6. Substitute p = 17 to h, which gives h = 90.\n\nThus, the final answer is h = \\boxed{90}.",
"index": 24703,
"question": "Suppose a collection of variables is related by the following definitions: n = c + 19; t = m + 14; p = 17; a = p + 2; c = x + 7; x = t + 9; j = p + 5; w = j + 17; m = a + 16; l = q + 16; o = w + 8; q = o + 18; h = l + 9. Given that p = 17, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"n": "w + 18", "b": "n + 11", "j": "b + 6", "f": "j + 20", "p": "f + 19", "m": "p + 7", "e": "w + 14", "x": "e + 5", "h": "x + 4", "q": "h + 18", "o": "q + 1", "i": "o + 1", "w": 17}, "premises": {"w": 17}, "target": "m"}, "answer": {"steps": [["p", "f + 19", "f + 26"], ["f", "j + 20", "j + 46"], ["j", "b + 6", "b + 52"], ["b", "n + 11", "n + 63"], ["n", "w + 18", "w + 81"], ["w", 17, "98"]], "target_var_name": "m", "target_value": 98, "value_dict": {"w": 17}, "is_reverse": true}}
| 24,704
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: j = b + 6; e = w + 14; w = 17; p = f + 19; f = j + 20; m = p + 7; h = x + 4; b = n + 11; q = h + 18; o = q + 1; n = w + 18; i = o + 1; x = e + 5. If w = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = f + 19 to m, which gives m = f + 26.\n2. Substitute f = j + 20 to m, which gives m = j + 46.\n3. Substitute j = b + 6 to m, which gives m = b + 52.\n4. Substitute b = n + 11 to m, which gives m = n + 63.\n5. Substitute n = w + 18 to m, which gives m = w + 81.\n6. Substitute w = 17 to m, which gives m = 98.\n\nThus, the final answer is m = \\boxed{98}.",
"index": 24704,
"question": "Consider a system of variables where each variable is defined as follows: j = b + 6; e = w + 14; w = 17; p = f + 19; f = j + 20; m = p + 7; h = x + 4; b = n + 11; q = h + 18; o = q + 1; n = w + 18; i = o + 1; x = e + 5. If w = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"f": "q + 13", "z": "f + 8", "l": "z + 15", "i": "l + 8", "g": "i + 11", "p": "g + 11", "b": "q + 14", "y": "b + 6", "n": "y + 18", "a": "n + 18", "h": "a + 8", "r": "h + 16", "q": 16}, "premises": {"q": 16}, "target": "p"}, "answer": {"steps": [["g", "i + 11", "i + 22"], ["i", "l + 8", "l + 30"], ["l", "z + 15", "z + 45"], ["z", "f + 8", "f + 53"], ["f", "q + 13", "q + 66"], ["q", 16, "82"]], "target_var_name": "p", "target_value": 82, "value_dict": {"q": 16}, "is_reverse": true}}
| 24,705
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 15; n = y + 18; g = i + 11; i = l + 8; f = q + 13; p = g + 11; r = h + 16; z = f + 8; q = 16; y = b + 6; b = q + 14; h = a + 8; a = n + 18. If q = 16, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = i + 11 to p, which gives p = i + 22.\n2. Substitute i = l + 8 to p, which gives p = l + 30.\n3. Substitute l = z + 15 to p, which gives p = z + 45.\n4. Substitute z = f + 8 to p, which gives p = f + 53.\n5. Substitute f = q + 13 to p, which gives p = q + 66.\n6. Substitute q = 16 to p, which gives p = 82.\n\nThus, the final answer is p = \\boxed{82}.",
"index": 24705,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: l = z + 15; n = y + 18; g = i + 11; i = l + 8; f = q + 13; p = g + 11; r = h + 16; z = f + 8; q = 16; y = b + 6; b = q + 14; h = a + 8; a = n + 18. If q = 16, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "u + 6", "b": "s + 2", "l": "b + 19", "z": "l + 5", "y": "z + 15", "o": "y + 16", "i": "u + 4", "q": "i + 9", "w": "q + 20", "g": "w + 11", "f": "g + 19", "h": "f + 7", "u": 5}, "premises": {"u": 5}, "target": "o"}, "answer": {"steps": [["y", "z + 15", "z + 31"], ["z", "l + 5", "l + 36"], ["l", "b + 19", "b + 55"], ["b", "s + 2", "s + 57"], ["s", "u + 6", "u + 63"], ["u", 5, "68"]], "target_var_name": "o", "target_value": 68, "value_dict": {"u": 5}, "is_reverse": true}}
| 24,706
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 16; z = l + 5; l = b + 19; i = u + 4; y = z + 15; u = 5; b = s + 2; q = i + 9; h = f + 7; f = g + 19; g = w + 11; w = q + 20; s = u + 6. If u = 5, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = z + 15 to o, which gives o = z + 31.\n2. Substitute z = l + 5 to o, which gives o = l + 36.\n3. Substitute l = b + 19 to o, which gives o = b + 55.\n4. Substitute b = s + 2 to o, which gives o = s + 57.\n5. Substitute s = u + 6 to o, which gives o = u + 63.\n6. Substitute u = 5 to o, which gives o = 68.\n\nThus, the final answer is o = \\boxed{68}.",
"index": 24706,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = y + 16; z = l + 5; l = b + 19; i = u + 4; y = z + 15; u = 5; b = s + 2; q = i + 9; h = f + 7; f = g + 19; g = w + 11; w = q + 20; s = u + 6. If u = 5, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"p": "u + 14", "q": "p + 16", "r": "q + 11", "k": "r + 1", "o": "k + 10", "z": "o + 5", "j": "u + 16", "e": "j + 1", "a": "e + 9", "c": "a + 16", "x": "c + 14", "v": "x + 6", "u": 9}, "premises": {"u": 9}, "target": "z"}, "answer": {"steps": [["o", "k + 10", "k + 15"], ["k", "r + 1", "r + 16"], ["r", "q + 11", "q + 27"], ["q", "p + 16", "p + 43"], ["p", "u + 14", "u + 57"], ["u", 9, "66"]], "target_var_name": "z", "target_value": 66, "value_dict": {"u": 9}, "is_reverse": true}}
| 24,707
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = 9; p = u + 14; v = x + 6; k = r + 1; r = q + 11; q = p + 16; c = a + 16; e = j + 1; a = e + 9; j = u + 16; x = c + 14; o = k + 10; z = o + 5. If u = 9, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 66,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute o = k + 10 to z, which gives z = k + 15.\n2. Substitute k = r + 1 to z, which gives z = r + 16.\n3. Substitute r = q + 11 to z, which gives z = q + 27.\n4. Substitute q = p + 16 to z, which gives z = p + 43.\n5. Substitute p = u + 14 to z, which gives z = u + 57.\n6. Substitute u = 9 to z, which gives z = 66.\n\nThus, the final answer is z = \\boxed{66}.",
"index": 24707,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = 9; p = u + 14; v = x + 6; k = r + 1; r = q + 11; q = p + 16; c = a + 16; e = j + 1; a = e + 9; j = u + 16; x = c + 14; o = k + 10; z = o + 5. If u = 9, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"y": "f + 1", "a": "y + 1", "l": "a + 4", "i": "l + 11", "u": "i + 5", "b": "u + 13", "c": "f + 11", "g": "c + 9", "v": "g + 18", "p": "v + 10", "e": "p + 18", "r": "e + 19", "f": 4}, "premises": {"f": 4}, "target": "b"}, "answer": {"steps": [["u", "i + 5", "i + 18"], ["i", "l + 11", "l + 29"], ["l", "a + 4", "a + 33"], ["a", "y + 1", "y + 34"], ["y", "f + 1", "f + 35"], ["f", 4, "39"]], "target_var_name": "b", "target_value": 39, "value_dict": {"f": 4}, "is_reverse": true}}
| 24,708
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 11; v = g + 18; i = l + 11; b = u + 13; p = v + 10; l = a + 4; e = p + 18; u = i + 5; a = y + 1; r = e + 19; f = 4; g = c + 9; y = f + 1. If f = 4, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 39,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = i + 5 to b, which gives b = i + 18.\n2. Substitute i = l + 11 to b, which gives b = l + 29.\n3. Substitute l = a + 4 to b, which gives b = a + 33.\n4. Substitute a = y + 1 to b, which gives b = y + 34.\n5. Substitute y = f + 1 to b, which gives b = f + 35.\n6. Substitute f = 4 to b, which gives b = 39.\n\nThus, the final answer is b = \\boxed{39}.",
"index": 24708,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = f + 11; v = g + 18; i = l + 11; b = u + 13; p = v + 10; l = a + 4; e = p + 18; u = i + 5; a = y + 1; r = e + 19; f = 4; g = c + 9; y = f + 1. If f = 4, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"n": "g + 8", "o": "n + 17", "m": "o + 6", "b": "m + 19", "e": "b + 2", "f": "e + 15", "z": "g + 18", "v": "z + 4", "q": "v + 9", "u": "q + 8", "t": "u + 10", "j": "t + 7", "g": 18}, "premises": {"g": 18}, "target": "f"}, "answer": {"steps": [["e", "b + 2", "b + 17"], ["b", "m + 19", "m + 36"], ["m", "o + 6", "o + 42"], ["o", "n + 17", "n + 59"], ["n", "g + 8", "g + 67"], ["g", 18, "85"]], "target_var_name": "f", "target_value": 85, "value_dict": {"g": 18}, "is_reverse": true}}
| 24,709
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 8; t = u + 10; q = v + 9; e = b + 2; u = q + 8; z = g + 18; j = t + 7; o = n + 17; g = 18; m = o + 6; f = e + 15; v = z + 4; b = m + 19. If g = 18, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 85,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 2 to f, which gives f = b + 17.\n2. Substitute b = m + 19 to f, which gives f = m + 36.\n3. Substitute m = o + 6 to f, which gives f = o + 42.\n4. Substitute o = n + 17 to f, which gives f = n + 59.\n5. Substitute n = g + 8 to f, which gives f = g + 67.\n6. Substitute g = 18 to f, which gives f = 85.\n\nThus, the final answer is f = \\boxed{85}.",
"index": 24709,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = g + 8; t = u + 10; q = v + 9; e = b + 2; u = q + 8; z = g + 18; j = t + 7; o = n + 17; g = 18; m = o + 6; f = e + 15; v = z + 4; b = m + 19. If g = 18, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"o": "f + 2", "z": "o + 4", "h": "z + 6", "q": "h + 6", "w": "q + 16", "x": "w + 11", "g": "f + 4", "n": "g + 18", "t": "n + 6", "v": "t + 13", "p": "v + 5", "y": "p + 8", "f": 10}, "premises": {"f": 10}, "target": "x"}, "answer": {"steps": [["w", "q + 16", "q + 27"], ["q", "h + 6", "h + 33"], ["h", "z + 6", "z + 39"], ["z", "o + 4", "o + 43"], ["o", "f + 2", "f + 45"], ["f", 10, "55"]], "target_var_name": "x", "target_value": 55, "value_dict": {"f": 10}, "is_reverse": true}}
| 24,710
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 8; o = f + 2; q = h + 6; h = z + 6; w = q + 16; v = t + 13; g = f + 4; p = v + 5; n = g + 18; z = o + 4; t = n + 6; x = w + 11; f = 10. If f = 10, what is the resulting value of x?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = q + 16 to x, which gives x = q + 27.\n2. Substitute q = h + 6 to x, which gives x = h + 33.\n3. Substitute h = z + 6 to x, which gives x = z + 39.\n4. Substitute z = o + 4 to x, which gives x = o + 43.\n5. Substitute o = f + 2 to x, which gives x = f + 45.\n6. Substitute f = 10 to x, which gives x = 55.\n\nThus, the final answer is x = \\boxed{55}.",
"index": 24710,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 8; o = f + 2; q = h + 6; h = z + 6; w = q + 16; v = t + 13; g = f + 4; p = v + 5; n = g + 18; z = o + 4; t = n + 6; x = w + 11; f = 10. If f = 10, what is the resulting value of x?",
"split": "train"
}
|
{"problem": {"rules": {"k": "c + 19", "e": "k + 6", "o": "e + 3", "v": "o + 4", "r": "v + 6", "u": "r + 18", "i": "c + 13", "b": "i + 10", "p": "b + 5", "a": "p + 5", "w": "a + 19", "x": "w + 20", "c": 4}, "premises": {"c": 4}, "target": "u"}, "answer": {"steps": [["r", "v + 6", "v + 24"], ["v", "o + 4", "o + 28"], ["o", "e + 3", "e + 31"], ["e", "k + 6", "k + 37"], ["k", "c + 19", "c + 56"], ["c", 4, "60"]], "target_var_name": "u", "target_value": 60, "value_dict": {"c": 4}, "is_reverse": true}}
| 24,711
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = p + 5; c = 4; w = a + 19; e = k + 6; u = r + 18; k = c + 19; b = i + 10; x = w + 20; r = v + 6; o = e + 3; i = c + 13; p = b + 5; v = o + 4. If c = 4, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 6 to u, which gives u = v + 24.\n2. Substitute v = o + 4 to u, which gives u = o + 28.\n3. Substitute o = e + 3 to u, which gives u = e + 31.\n4. Substitute e = k + 6 to u, which gives u = k + 37.\n5. Substitute k = c + 19 to u, which gives u = c + 56.\n6. Substitute c = 4 to u, which gives u = 60.\n\nThus, the final answer is u = \\boxed{60}.",
"index": 24711,
"question": "Consider a system of variables where each variable is defined as follows: a = p + 5; c = 4; w = a + 19; e = k + 6; u = r + 18; k = c + 19; b = i + 10; x = w + 20; r = v + 6; o = e + 3; i = c + 13; p = b + 5; v = o + 4. If c = 4, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 17", "x": "q + 11", "g": "x + 14", "y": "g + 15", "k": "y + 3", "s": "k + 18", "d": "i + 4", "a": "d + 1", "t": "a + 9", "r": "t + 6", "b": "r + 6", "l": "b + 4", "i": 18}, "premises": {"i": 18}, "target": "s"}, "answer": {"steps": [["k", "y + 3", "y + 21"], ["y", "g + 15", "g + 36"], ["g", "x + 14", "x + 50"], ["x", "q + 11", "q + 61"], ["q", "i + 17", "i + 78"], ["i", 18, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"i": 18}, "is_reverse": true}}
| 24,712
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; i = 18; k = y + 3; y = g + 15; a = d + 1; x = q + 11; l = b + 4; t = a + 9; b = r + 6; s = k + 18; g = x + 14; d = i + 4; r = t + 6. If i = 18, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = y + 3 to s, which gives s = y + 21.\n2. Substitute y = g + 15 to s, which gives s = g + 36.\n3. Substitute g = x + 14 to s, which gives s = x + 50.\n4. Substitute x = q + 11 to s, which gives s = q + 61.\n5. Substitute q = i + 17 to s, which gives s = i + 78.\n6. Substitute i = 18 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 24712,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: q = i + 17; i = 18; k = y + 3; y = g + 15; a = d + 1; x = q + 11; l = b + 4; t = a + 9; b = r + 6; s = k + 18; g = x + 14; d = i + 4; r = t + 6. If i = 18, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"s": "o + 6", "n": "s + 10", "y": "n + 3", "j": "y + 6", "d": "j + 8", "r": "d + 9", "c": "o + 14", "v": "c + 15", "t": "v + 15", "i": "t + 19", "w": "i + 2", "l": "w + 6", "o": 7}, "premises": {"o": 7}, "target": "r"}, "answer": {"steps": [["d", "j + 8", "j + 17"], ["j", "y + 6", "y + 23"], ["y", "n + 3", "n + 26"], ["n", "s + 10", "s + 36"], ["s", "o + 6", "o + 42"], ["o", 7, "49"]], "target_var_name": "r", "target_value": 49, "value_dict": {"o": 7}, "is_reverse": true}}
| 24,713
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = t + 19; l = w + 6; n = s + 10; d = j + 8; v = c + 15; t = v + 15; r = d + 9; y = n + 3; w = i + 2; c = o + 14; o = 7; j = y + 6; s = o + 6. If o = 7, determine the value of r.",
"role": "user"
}
] |
math
|
{
"ground_truth": 49,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = j + 8 to r, which gives r = j + 17.\n2. Substitute j = y + 6 to r, which gives r = y + 23.\n3. Substitute y = n + 3 to r, which gives r = n + 26.\n4. Substitute n = s + 10 to r, which gives r = s + 36.\n5. Substitute s = o + 6 to r, which gives r = o + 42.\n6. Substitute o = 7 to r, which gives r = 49.\n\nThus, the final answer is r = \\boxed{49}.",
"index": 24713,
"question": "Consider a system of variables where each variable is defined as follows: i = t + 19; l = w + 6; n = s + 10; d = j + 8; v = c + 15; t = v + 15; r = d + 9; y = n + 3; w = i + 2; c = o + 14; o = 7; j = y + 6; s = o + 6. If o = 7, determine the value of r.",
"split": "train"
}
|
{"problem": {"rules": {"j": "i + 10", "w": "j + 2", "u": "w + 10", "b": "u + 7", "f": "b + 3", "h": "f + 12", "m": "i + 7", "y": "m + 10", "s": "y + 12", "c": "s + 15", "x": "c + 17", "l": "x + 2", "i": 20}, "premises": {"i": 20}, "target": "h"}, "answer": {"steps": [["f", "b + 3", "b + 15"], ["b", "u + 7", "u + 22"], ["u", "w + 10", "w + 32"], ["w", "j + 2", "j + 34"], ["j", "i + 10", "i + 44"], ["i", 20, "64"]], "target_var_name": "h", "target_value": 64, "value_dict": {"i": 20}, "is_reverse": true}}
| 24,714
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: m = i + 7; x = c + 17; u = w + 10; l = x + 2; i = 20; b = u + 7; y = m + 10; f = b + 3; j = i + 10; w = j + 2; c = s + 15; h = f + 12; s = y + 12. Given that i = 20, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 64,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = b + 3 to h, which gives h = b + 15.\n2. Substitute b = u + 7 to h, which gives h = u + 22.\n3. Substitute u = w + 10 to h, which gives h = w + 32.\n4. Substitute w = j + 2 to h, which gives h = j + 34.\n5. Substitute j = i + 10 to h, which gives h = i + 44.\n6. Substitute i = 20 to h, which gives h = 64.\n\nThus, the final answer is h = \\boxed{64}.",
"index": 24714,
"question": "Suppose a collection of variables is related by the following definitions: m = i + 7; x = c + 17; u = w + 10; l = x + 2; i = 20; b = u + 7; y = m + 10; f = b + 3; j = i + 10; w = j + 2; c = s + 15; h = f + 12; s = y + 12. Given that i = 20, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"p": "z + 20", "n": "p + 12", "k": "n + 19", "m": "k + 2", "s": "m + 14", "g": "s + 9", "u": "z + 11", "r": "u + 17", "h": "r + 12", "t": "h + 14", "l": "t + 12", "y": "l + 4", "z": 16}, "premises": {"z": 16}, "target": "g"}, "answer": {"steps": [["s", "m + 14", "m + 23"], ["m", "k + 2", "k + 25"], ["k", "n + 19", "n + 44"], ["n", "p + 12", "p + 56"], ["p", "z + 20", "z + 76"], ["z", 16, "92"]], "target_var_name": "g", "target_value": 92, "value_dict": {"z": 16}, "is_reverse": true}}
| 24,715
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: y = l + 4; m = k + 2; r = u + 17; u = z + 11; n = p + 12; z = 16; p = z + 20; h = r + 12; t = h + 14; k = n + 19; l = t + 12; s = m + 14; g = s + 9. If z = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = m + 14 to g, which gives g = m + 23.\n2. Substitute m = k + 2 to g, which gives g = k + 25.\n3. Substitute k = n + 19 to g, which gives g = n + 44.\n4. Substitute n = p + 12 to g, which gives g = p + 56.\n5. Substitute p = z + 20 to g, which gives g = z + 76.\n6. Substitute z = 16 to g, which gives g = 92.\n\nThus, the final answer is g = \\boxed{92}.",
"index": 24715,
"question": "Consider a system of variables where each variable is defined as follows: y = l + 4; m = k + 2; r = u + 17; u = z + 11; n = p + 12; z = 16; p = z + 20; h = r + 12; t = h + 14; k = n + 19; l = t + 12; s = m + 14; g = s + 9. If z = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"a": "w + 9", "f": "a + 13", "z": "f + 13", "u": "z + 14", "d": "u + 7", "h": "d + 16", "b": "w + 4", "r": "b + 17", "t": "r + 16", "k": "t + 12", "j": "k + 8", "o": "j + 8", "w": 16}, "premises": {"w": 16}, "target": "h"}, "answer": {"steps": [["d", "u + 7", "u + 23"], ["u", "z + 14", "z + 37"], ["z", "f + 13", "f + 50"], ["f", "a + 13", "a + 63"], ["a", "w + 9", "w + 72"], ["w", 16, "88"]], "target_var_name": "h", "target_value": 88, "value_dict": {"w": 16}, "is_reverse": true}}
| 24,716
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = d + 16; u = z + 14; a = w + 9; w = 16; k = t + 12; d = u + 7; f = a + 13; t = r + 16; r = b + 17; j = k + 8; z = f + 13; o = j + 8; b = w + 4. Given that w = 16, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 7 to h, which gives h = u + 23.\n2. Substitute u = z + 14 to h, which gives h = z + 37.\n3. Substitute z = f + 13 to h, which gives h = f + 50.\n4. Substitute f = a + 13 to h, which gives h = a + 63.\n5. Substitute a = w + 9 to h, which gives h = w + 72.\n6. Substitute w = 16 to h, which gives h = 88.\n\nThus, the final answer is h = \\boxed{88}.",
"index": 24716,
"question": "Suppose a collection of variables is related by the following definitions: h = d + 16; u = z + 14; a = w + 9; w = 16; k = t + 12; d = u + 7; f = a + 13; t = r + 16; r = b + 17; j = k + 8; z = f + 13; o = j + 8; b = w + 4. Given that w = 16, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"w": "i + 12", "b": "w + 10", "p": "b + 1", "x": "p + 2", "s": "x + 6", "k": "s + 17", "y": "i + 18", "e": "y + 3", "m": "e + 13", "h": "m + 12", "g": "h + 8", "l": "g + 5", "i": 15}, "premises": {"i": 15}, "target": "k"}, "answer": {"steps": [["s", "x + 6", "x + 23"], ["x", "p + 2", "p + 25"], ["p", "b + 1", "b + 26"], ["b", "w + 10", "w + 36"], ["w", "i + 12", "i + 48"], ["i", 15, "63"]], "target_var_name": "k", "target_value": 63, "value_dict": {"i": 15}, "is_reverse": true}}
| 24,717
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = s + 17; i = 15; l = g + 5; e = y + 3; y = i + 18; h = m + 12; s = x + 6; b = w + 10; g = h + 8; m = e + 13; w = i + 12; x = p + 2; p = b + 1. If i = 15, determine the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = x + 6 to k, which gives k = x + 23.\n2. Substitute x = p + 2 to k, which gives k = p + 25.\n3. Substitute p = b + 1 to k, which gives k = b + 26.\n4. Substitute b = w + 10 to k, which gives k = w + 36.\n5. Substitute w = i + 12 to k, which gives k = i + 48.\n6. Substitute i = 15 to k, which gives k = 63.\n\nThus, the final answer is k = \\boxed{63}.",
"index": 24717,
"question": "Consider a system of variables where each variable is defined as follows: k = s + 17; i = 15; l = g + 5; e = y + 3; y = i + 18; h = m + 12; s = x + 6; b = w + 10; g = h + 8; m = e + 13; w = i + 12; x = p + 2; p = b + 1. If i = 15, determine the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"o": "a + 20", "i": "o + 7", "m": "i + 5", "n": "m + 1", "b": "n + 15", "y": "b + 9", "d": "a + 12", "u": "d + 5", "g": "u + 18", "h": "g + 9", "k": "h + 19", "s": "k + 14", "a": 14}, "premises": {"a": 14}, "target": "y"}, "answer": {"steps": [["b", "n + 15", "n + 24"], ["n", "m + 1", "m + 25"], ["m", "i + 5", "i + 30"], ["i", "o + 7", "o + 37"], ["o", "a + 20", "a + 57"], ["a", 14, "71"]], "target_var_name": "y", "target_value": 71, "value_dict": {"a": 14}, "is_reverse": true}}
| 24,718
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = h + 19; n = m + 1; i = o + 7; y = b + 9; a = 14; o = a + 20; m = i + 5; d = a + 12; u = d + 5; b = n + 15; g = u + 18; h = g + 9; s = k + 14. Given that a = 14, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = n + 15 to y, which gives y = n + 24.\n2. Substitute n = m + 1 to y, which gives y = m + 25.\n3. Substitute m = i + 5 to y, which gives y = i + 30.\n4. Substitute i = o + 7 to y, which gives y = o + 37.\n5. Substitute o = a + 20 to y, which gives y = a + 57.\n6. Substitute a = 14 to y, which gives y = 71.\n\nThus, the final answer is y = \\boxed{71}.",
"index": 24718,
"question": "Suppose a collection of variables is related by the following definitions: k = h + 19; n = m + 1; i = o + 7; y = b + 9; a = 14; o = a + 20; m = i + 5; d = a + 12; u = d + 5; b = n + 15; g = u + 18; h = g + 9; s = k + 14. Given that a = 14, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"o": "j + 20", "w": "o + 2", "d": "w + 17", "h": "d + 17", "i": "h + 16", "s": "i + 9", "z": "j + 4", "f": "z + 7", "e": "f + 17", "u": "e + 2", "a": "u + 7", "n": "a + 2", "j": 15}, "premises": {"j": 15}, "target": "s"}, "answer": {"steps": [["i", "h + 16", "h + 25"], ["h", "d + 17", "d + 42"], ["d", "w + 17", "w + 59"], ["w", "o + 2", "o + 61"], ["o", "j + 20", "j + 81"], ["j", 15, "96"]], "target_var_name": "s", "target_value": 96, "value_dict": {"j": 15}, "is_reverse": true}}
| 24,719
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = h + 16; f = z + 7; w = o + 2; o = j + 20; u = e + 2; a = u + 7; j = 15; s = i + 9; h = d + 17; d = w + 17; e = f + 17; z = j + 4; n = a + 2. Given that j = 15, find the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = h + 16 to s, which gives s = h + 25.\n2. Substitute h = d + 17 to s, which gives s = d + 42.\n3. Substitute d = w + 17 to s, which gives s = w + 59.\n4. Substitute w = o + 2 to s, which gives s = o + 61.\n5. Substitute o = j + 20 to s, which gives s = j + 81.\n6. Substitute j = 15 to s, which gives s = 96.\n\nThus, the final answer is s = \\boxed{96}.",
"index": 24719,
"question": "Suppose a collection of variables is related by the following definitions: i = h + 16; f = z + 7; w = o + 2; o = j + 20; u = e + 2; a = u + 7; j = 15; s = i + 9; h = d + 17; d = w + 17; e = f + 17; z = j + 4; n = a + 2. Given that j = 15, find the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"v": "w + 13", "k": "v + 18", "i": "k + 11", "q": "i + 16", "a": "q + 3", "c": "a + 8", "n": "w + 2", "e": "n + 19", "r": "e + 15", "h": "r + 4", "g": "h + 19", "j": "g + 18", "w": 4}, "premises": {"w": 4}, "target": "c"}, "answer": {"steps": [["a", "q + 3", "q + 11"], ["q", "i + 16", "i + 27"], ["i", "k + 11", "k + 38"], ["k", "v + 18", "v + 56"], ["v", "w + 13", "w + 69"], ["w", 4, "73"]], "target_var_name": "c", "target_value": 73, "value_dict": {"w": 4}, "is_reverse": true}}
| 24,720
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: w = 4; j = g + 18; q = i + 16; k = v + 18; v = w + 13; g = h + 19; e = n + 19; r = e + 15; c = a + 8; i = k + 11; n = w + 2; a = q + 3; h = r + 4. If w = 4, determine the value of c.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = q + 3 to c, which gives c = q + 11.\n2. Substitute q = i + 16 to c, which gives c = i + 27.\n3. Substitute i = k + 11 to c, which gives c = k + 38.\n4. Substitute k = v + 18 to c, which gives c = v + 56.\n5. Substitute v = w + 13 to c, which gives c = w + 69.\n6. Substitute w = 4 to c, which gives c = 73.\n\nThus, the final answer is c = \\boxed{73}.",
"index": 24720,
"question": "Consider a system of variables where each variable is defined as follows: w = 4; j = g + 18; q = i + 16; k = v + 18; v = w + 13; g = h + 19; e = n + 19; r = e + 15; c = a + 8; i = k + 11; n = w + 2; a = q + 3; h = r + 4. If w = 4, determine the value of c.",
"split": "train"
}
|
{"problem": {"rules": {"h": "o + 12", "z": "h + 1", "n": "z + 5", "l": "n + 1", "d": "l + 17", "b": "d + 15", "g": "o + 16", "f": "g + 14", "c": "f + 16", "x": "c + 1", "j": "x + 11", "p": "j + 7", "o": 10}, "premises": {"o": 10}, "target": "b"}, "answer": {"steps": [["d", "l + 17", "l + 32"], ["l", "n + 1", "n + 33"], ["n", "z + 5", "z + 38"], ["z", "h + 1", "h + 39"], ["h", "o + 12", "o + 51"], ["o", 10, "61"]], "target_var_name": "b", "target_value": 61, "value_dict": {"o": 10}, "is_reverse": true}}
| 24,721
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: x = c + 1; o = 10; n = z + 5; d = l + 17; g = o + 16; h = o + 12; f = g + 14; c = f + 16; p = j + 7; b = d + 15; j = x + 11; z = h + 1; l = n + 1. Given that o = 10, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = l + 17 to b, which gives b = l + 32.\n2. Substitute l = n + 1 to b, which gives b = n + 33.\n3. Substitute n = z + 5 to b, which gives b = z + 38.\n4. Substitute z = h + 1 to b, which gives b = h + 39.\n5. Substitute h = o + 12 to b, which gives b = o + 51.\n6. Substitute o = 10 to b, which gives b = 61.\n\nThus, the final answer is b = \\boxed{61}.",
"index": 24721,
"question": "Suppose a collection of variables is related by the following definitions: x = c + 1; o = 10; n = z + 5; d = l + 17; g = o + 16; h = o + 12; f = g + 14; c = f + 16; p = j + 7; b = d + 15; j = x + 11; z = h + 1; l = n + 1. Given that o = 10, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"a": "r + 7", "q": "a + 15", "u": "q + 8", "v": "u + 4", "z": "v + 3", "m": "z + 13", "t": "r + 9", "c": "t + 3", "y": "c + 10", "x": "y + 15", "n": "x + 18", "l": "n + 8", "r": 11}, "premises": {"r": 11}, "target": "m"}, "answer": {"steps": [["z", "v + 3", "v + 16"], ["v", "u + 4", "u + 20"], ["u", "q + 8", "q + 28"], ["q", "a + 15", "a + 43"], ["a", "r + 7", "r + 50"], ["r", 11, "61"]], "target_var_name": "m", "target_value": 61, "value_dict": {"r": 11}, "is_reverse": true}}
| 24,722
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 7; z = v + 3; m = z + 13; t = r + 9; y = c + 10; q = a + 15; r = 11; x = y + 15; v = u + 4; n = x + 18; u = q + 8; l = n + 8; c = t + 3. If r = 11, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 61,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = v + 3 to m, which gives m = v + 16.\n2. Substitute v = u + 4 to m, which gives m = u + 20.\n3. Substitute u = q + 8 to m, which gives m = q + 28.\n4. Substitute q = a + 15 to m, which gives m = a + 43.\n5. Substitute a = r + 7 to m, which gives m = r + 50.\n6. Substitute r = 11 to m, which gives m = 61.\n\nThus, the final answer is m = \\boxed{61}.",
"index": 24722,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = r + 7; z = v + 3; m = z + 13; t = r + 9; y = c + 10; q = a + 15; r = 11; x = y + 15; v = u + 4; n = x + 18; u = q + 8; l = n + 8; c = t + 3. If r = 11, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"m": "j + 18", "z": "m + 9", "s": "z + 6", "n": "s + 13", "a": "n + 12", "o": "a + 14", "l": "j + 17", "d": "l + 17", "w": "d + 4", "e": "w + 7", "k": "e + 11", "h": "k + 12", "j": 4}, "premises": {"j": 4}, "target": "o"}, "answer": {"steps": [["a", "n + 12", "n + 26"], ["n", "s + 13", "s + 39"], ["s", "z + 6", "z + 45"], ["z", "m + 9", "m + 54"], ["m", "j + 18", "j + 72"], ["j", 4, "76"]], "target_var_name": "o", "target_value": 76, "value_dict": {"j": 4}, "is_reverse": true}}
| 24,723
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = j + 17; w = d + 4; j = 4; m = j + 18; z = m + 9; d = l + 17; a = n + 12; s = z + 6; o = a + 14; e = w + 7; k = e + 11; n = s + 13; h = k + 12. If j = 4, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 76,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = n + 12 to o, which gives o = n + 26.\n2. Substitute n = s + 13 to o, which gives o = s + 39.\n3. Substitute s = z + 6 to o, which gives o = z + 45.\n4. Substitute z = m + 9 to o, which gives o = m + 54.\n5. Substitute m = j + 18 to o, which gives o = j + 72.\n6. Substitute j = 4 to o, which gives o = 76.\n\nThus, the final answer is o = \\boxed{76}.",
"index": 24723,
"question": "Consider a system of variables where each variable is defined as follows: l = j + 17; w = d + 4; j = 4; m = j + 18; z = m + 9; d = l + 17; a = n + 12; s = z + 6; o = a + 14; e = w + 7; k = e + 11; n = s + 13; h = k + 12. If j = 4, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"p": "e + 9", "h": "p + 6", "v": "h + 18", "l": "v + 19", "g": "l + 12", "q": "g + 18", "b": "e + 18", "z": "b + 1", "t": "z + 8", "x": "t + 1", "a": "x + 9", "u": "a + 16", "e": 5}, "premises": {"e": 5}, "target": "q"}, "answer": {"steps": [["g", "l + 12", "l + 30"], ["l", "v + 19", "v + 49"], ["v", "h + 18", "h + 67"], ["h", "p + 6", "p + 73"], ["p", "e + 9", "e + 82"], ["e", 5, "87"]], "target_var_name": "q", "target_value": 87, "value_dict": {"e": 5}, "is_reverse": true}}
| 24,724
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 18; h = p + 6; q = g + 18; x = t + 1; l = v + 19; e = 5; u = a + 16; p = e + 9; t = z + 8; a = x + 9; g = l + 12; z = b + 1; v = h + 18. If e = 5, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = l + 12 to q, which gives q = l + 30.\n2. Substitute l = v + 19 to q, which gives q = v + 49.\n3. Substitute v = h + 18 to q, which gives q = h + 67.\n4. Substitute h = p + 6 to q, which gives q = p + 73.\n5. Substitute p = e + 9 to q, which gives q = e + 82.\n6. Substitute e = 5 to q, which gives q = 87.\n\nThus, the final answer is q = \\boxed{87}.",
"index": 24724,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: b = e + 18; h = p + 6; q = g + 18; x = t + 1; l = v + 19; e = 5; u = a + 16; p = e + 9; t = z + 8; a = x + 9; g = l + 12; z = b + 1; v = h + 18. If e = 5, what is the resulting value of q?",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 16", "i": "w + 7", "k": "i + 9", "v": "k + 3", "p": "v + 17", "o": "p + 14", "n": "d + 4", "c": "n + 5", "t": "c + 19", "s": "t + 8", "y": "s + 9", "a": "y + 18", "d": 15}, "premises": {"d": 15}, "target": "o"}, "answer": {"steps": [["p", "v + 17", "v + 31"], ["v", "k + 3", "k + 34"], ["k", "i + 9", "i + 43"], ["i", "w + 7", "w + 50"], ["w", "d + 16", "d + 66"], ["d", 15, "81"]], "target_var_name": "o", "target_value": 81, "value_dict": {"d": 15}, "is_reverse": true}}
| 24,725
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 9; i = w + 7; p = v + 17; a = y + 18; k = i + 9; w = d + 16; c = n + 5; t = c + 19; s = t + 8; o = p + 14; d = 15; n = d + 4; v = k + 3. If d = 15, what is the resulting value of o?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = v + 17 to o, which gives o = v + 31.\n2. Substitute v = k + 3 to o, which gives o = k + 34.\n3. Substitute k = i + 9 to o, which gives o = i + 43.\n4. Substitute i = w + 7 to o, which gives o = w + 50.\n5. Substitute w = d + 16 to o, which gives o = d + 66.\n6. Substitute d = 15 to o, which gives o = 81.\n\nThus, the final answer is o = \\boxed{81}.",
"index": 24725,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = s + 9; i = w + 7; p = v + 17; a = y + 18; k = i + 9; w = d + 16; c = n + 5; t = c + 19; s = t + 8; o = p + 14; d = 15; n = d + 4; v = k + 3. If d = 15, what is the resulting value of o?",
"split": "train"
}
|
{"problem": {"rules": {"k": "m + 2", "l": "k + 4", "d": "l + 11", "r": "d + 11", "h": "r + 5", "s": "h + 20", "b": "m + 14", "u": "b + 4", "j": "u + 7", "w": "j + 20", "t": "w + 19", "z": "t + 9", "m": 10}, "premises": {"m": 10}, "target": "s"}, "answer": {"steps": [["h", "r + 5", "r + 25"], ["r", "d + 11", "d + 36"], ["d", "l + 11", "l + 47"], ["l", "k + 4", "k + 51"], ["k", "m + 2", "m + 53"], ["m", 10, "63"]], "target_var_name": "s", "target_value": 63, "value_dict": {"m": 10}, "is_reverse": true}}
| 24,726
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 20; h = r + 5; s = h + 20; z = t + 9; t = w + 19; d = l + 11; k = m + 2; b = m + 14; j = u + 7; u = b + 4; l = k + 4; r = d + 11; m = 10. If m = 10, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = r + 5 to s, which gives s = r + 25.\n2. Substitute r = d + 11 to s, which gives s = d + 36.\n3. Substitute d = l + 11 to s, which gives s = l + 47.\n4. Substitute l = k + 4 to s, which gives s = k + 51.\n5. Substitute k = m + 2 to s, which gives s = m + 53.\n6. Substitute m = 10 to s, which gives s = 63.\n\nThus, the final answer is s = \\boxed{63}.",
"index": 24726,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = j + 20; h = r + 5; s = h + 20; z = t + 9; t = w + 19; d = l + 11; k = m + 2; b = m + 14; j = u + 7; u = b + 4; l = k + 4; r = d + 11; m = 10. If m = 10, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"g": "j + 7", "a": "g + 13", "r": "a + 20", "c": "r + 13", "k": "c + 7", "o": "k + 12", "i": "j + 15", "q": "i + 8", "w": "q + 2", "x": "w + 9", "f": "x + 9", "b": "f + 18", "j": 1}, "premises": {"j": 1}, "target": "o"}, "answer": {"steps": [["k", "c + 7", "c + 19"], ["c", "r + 13", "r + 32"], ["r", "a + 20", "a + 52"], ["a", "g + 13", "g + 65"], ["g", "j + 7", "j + 72"], ["j", 1, "73"]], "target_var_name": "o", "target_value": 73, "value_dict": {"j": 1}, "is_reverse": true}}
| 24,727
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = q + 2; r = a + 20; q = i + 8; g = j + 7; k = c + 7; i = j + 15; a = g + 13; x = w + 9; o = k + 12; b = f + 18; c = r + 13; j = 1; f = x + 9. Given that j = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = c + 7 to o, which gives o = c + 19.\n2. Substitute c = r + 13 to o, which gives o = r + 32.\n3. Substitute r = a + 20 to o, which gives o = a + 52.\n4. Substitute a = g + 13 to o, which gives o = g + 65.\n5. Substitute g = j + 7 to o, which gives o = j + 72.\n6. Substitute j = 1 to o, which gives o = 73.\n\nThus, the final answer is o = \\boxed{73}.",
"index": 24727,
"question": "Suppose a collection of variables is related by the following definitions: w = q + 2; r = a + 20; q = i + 8; g = j + 7; k = c + 7; i = j + 15; a = g + 13; x = w + 9; o = k + 12; b = f + 18; c = r + 13; j = 1; f = x + 9. Given that j = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"q": "i + 6", "x": "q + 2", "k": "x + 17", "a": "k + 17", "l": "a + 12", "n": "l + 13", "h": "i + 2", "d": "h + 5", "b": "d + 14", "w": "b + 13", "r": "w + 17", "u": "r + 6", "i": 2}, "premises": {"i": 2}, "target": "n"}, "answer": {"steps": [["l", "a + 12", "a + 25"], ["a", "k + 17", "k + 42"], ["k", "x + 17", "x + 59"], ["x", "q + 2", "q + 61"], ["q", "i + 6", "i + 67"], ["i", 2, "69"]], "target_var_name": "n", "target_value": 69, "value_dict": {"i": 2}, "is_reverse": true}}
| 24,728
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = i + 6; u = r + 6; w = b + 13; i = 2; b = d + 14; k = x + 17; d = h + 5; r = w + 17; a = k + 17; l = a + 12; x = q + 2; h = i + 2; n = l + 13. Given that i = 2, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = a + 12 to n, which gives n = a + 25.\n2. Substitute a = k + 17 to n, which gives n = k + 42.\n3. Substitute k = x + 17 to n, which gives n = x + 59.\n4. Substitute x = q + 2 to n, which gives n = q + 61.\n5. Substitute q = i + 6 to n, which gives n = i + 67.\n6. Substitute i = 2 to n, which gives n = 69.\n\nThus, the final answer is n = \\boxed{69}.",
"index": 24728,
"question": "Suppose a collection of variables is related by the following definitions: q = i + 6; u = r + 6; w = b + 13; i = 2; b = d + 14; k = x + 17; d = h + 5; r = w + 17; a = k + 17; l = a + 12; x = q + 2; h = i + 2; n = l + 13. Given that i = 2, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"c": "q + 7", "i": "c + 15", "h": "i + 18", "p": "h + 9", "y": "p + 20", "u": "y + 13", "m": "q + 9", "n": "m + 6", "w": "n + 13", "e": "w + 7", "b": "e + 6", "j": "b + 2", "q": 5}, "premises": {"q": 5}, "target": "u"}, "answer": {"steps": [["y", "p + 20", "p + 33"], ["p", "h + 9", "h + 42"], ["h", "i + 18", "i + 60"], ["i", "c + 15", "c + 75"], ["c", "q + 7", "q + 82"], ["q", 5, "87"]], "target_var_name": "u", "target_value": 87, "value_dict": {"q": 5}, "is_reverse": true}}
| 24,729
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: p = h + 9; y = p + 20; b = e + 6; w = n + 13; j = b + 2; h = i + 18; e = w + 7; i = c + 15; q = 5; n = m + 6; u = y + 13; m = q + 9; c = q + 7. Given that q = 5, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = p + 20 to u, which gives u = p + 33.\n2. Substitute p = h + 9 to u, which gives u = h + 42.\n3. Substitute h = i + 18 to u, which gives u = i + 60.\n4. Substitute i = c + 15 to u, which gives u = c + 75.\n5. Substitute c = q + 7 to u, which gives u = q + 82.\n6. Substitute q = 5 to u, which gives u = 87.\n\nThus, the final answer is u = \\boxed{87}.",
"index": 24729,
"question": "Suppose a collection of variables is related by the following definitions: p = h + 9; y = p + 20; b = e + 6; w = n + 13; j = b + 2; h = i + 18; e = w + 7; i = c + 15; q = 5; n = m + 6; u = y + 13; m = q + 9; c = q + 7. Given that q = 5, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"s": "b + 20", "j": "s + 11", "l": "j + 7", "x": "l + 2", "t": "x + 3", "k": "t + 16", "i": "b + 4", "c": "i + 16", "o": "c + 18", "r": "o + 2", "e": "r + 18", "y": "e + 17", "b": 14}, "premises": {"b": 14}, "target": "k"}, "answer": {"steps": [["t", "x + 3", "x + 19"], ["x", "l + 2", "l + 21"], ["l", "j + 7", "j + 28"], ["j", "s + 11", "s + 39"], ["s", "b + 20", "b + 59"], ["b", 14, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"b": 14}, "is_reverse": true}}
| 24,730
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = x + 3; e = r + 18; y = e + 17; j = s + 11; l = j + 7; c = i + 16; r = o + 2; i = b + 4; o = c + 18; s = b + 20; b = 14; x = l + 2; k = t + 16. Given that b = 14, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = x + 3 to k, which gives k = x + 19.\n2. Substitute x = l + 2 to k, which gives k = l + 21.\n3. Substitute l = j + 7 to k, which gives k = j + 28.\n4. Substitute j = s + 11 to k, which gives k = s + 39.\n5. Substitute s = b + 20 to k, which gives k = b + 59.\n6. Substitute b = 14 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 24730,
"question": "Suppose a collection of variables is related by the following definitions: t = x + 3; e = r + 18; y = e + 17; j = s + 11; l = j + 7; c = i + 16; r = o + 2; i = b + 4; o = c + 18; s = b + 20; b = 14; x = l + 2; k = t + 16. Given that b = 14, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"g": "f + 2", "o": "g + 1", "e": "o + 6", "l": "e + 6", "x": "l + 7", "d": "x + 18", "a": "f + 20", "v": "a + 5", "k": "v + 3", "p": "k + 17", "y": "p + 2", "r": "y + 5", "f": 12}, "premises": {"f": 12}, "target": "d"}, "answer": {"steps": [["x", "l + 7", "l + 25"], ["l", "e + 6", "e + 31"], ["e", "o + 6", "o + 37"], ["o", "g + 1", "g + 38"], ["g", "f + 2", "f + 40"], ["f", 12, "52"]], "target_var_name": "d", "target_value": 52, "value_dict": {"f": 12}, "is_reverse": true}}
| 24,731
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 2; l = e + 6; a = f + 20; o = g + 1; d = x + 18; r = y + 5; v = a + 5; k = v + 3; g = f + 2; x = l + 7; p = k + 17; f = 12; e = o + 6. If f = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 52,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = l + 7 to d, which gives d = l + 25.\n2. Substitute l = e + 6 to d, which gives d = e + 31.\n3. Substitute e = o + 6 to d, which gives d = o + 37.\n4. Substitute o = g + 1 to d, which gives d = g + 38.\n5. Substitute g = f + 2 to d, which gives d = f + 40.\n6. Substitute f = 12 to d, which gives d = 52.\n\nThus, the final answer is d = \\boxed{52}.",
"index": 24731,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = p + 2; l = e + 6; a = f + 20; o = g + 1; d = x + 18; r = y + 5; v = a + 5; k = v + 3; g = f + 2; x = l + 7; p = k + 17; f = 12; e = o + 6. If f = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"d": "n + 4", "j": "d + 20", "b": "j + 5", "v": "b + 16", "a": "v + 12", "s": "a + 18", "p": "n + 18", "t": "p + 8", "u": "t + 14", "i": "u + 5", "h": "i + 12", "k": "h + 10", "n": 20}, "premises": {"n": 20}, "target": "s"}, "answer": {"steps": [["a", "v + 12", "v + 30"], ["v", "b + 16", "b + 46"], ["b", "j + 5", "j + 51"], ["j", "d + 20", "d + 71"], ["d", "n + 4", "n + 75"], ["n", 20, "95"]], "target_var_name": "s", "target_value": 95, "value_dict": {"n": 20}, "is_reverse": true}}
| 24,732
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 12; b = j + 5; j = d + 20; n = 20; t = p + 8; i = u + 5; p = n + 18; u = t + 14; d = n + 4; k = h + 10; h = i + 12; s = a + 18; v = b + 16. If n = 20, what is the resulting value of s?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute a = v + 12 to s, which gives s = v + 30.\n2. Substitute v = b + 16 to s, which gives s = b + 46.\n3. Substitute b = j + 5 to s, which gives s = j + 51.\n4. Substitute j = d + 20 to s, which gives s = d + 71.\n5. Substitute d = n + 4 to s, which gives s = n + 75.\n6. Substitute n = 20 to s, which gives s = 95.\n\nThus, the final answer is s = \\boxed{95}.",
"index": 24732,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: a = v + 12; b = j + 5; j = d + 20; n = 20; t = p + 8; i = u + 5; p = n + 18; u = t + 14; d = n + 4; k = h + 10; h = i + 12; s = a + 18; v = b + 16. If n = 20, what is the resulting value of s?",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 19", "y": "x + 12", "g": "y + 13", "r": "g + 19", "w": "r + 12", "q": "w + 16", "a": "j + 8", "p": "a + 1", "b": "p + 17", "m": "b + 4", "k": "m + 7", "u": "k + 18", "j": 17}, "premises": {"j": 17}, "target": "q"}, "answer": {"steps": [["w", "r + 12", "r + 28"], ["r", "g + 19", "g + 47"], ["g", "y + 13", "y + 60"], ["y", "x + 12", "x + 72"], ["x", "j + 19", "j + 91"], ["j", 17, "108"]], "target_var_name": "q", "target_value": 108, "value_dict": {"j": 17}, "is_reverse": true}}
| 24,733
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: g = y + 13; p = a + 1; u = k + 18; m = b + 4; k = m + 7; x = j + 19; y = x + 12; j = 17; w = r + 12; a = j + 8; b = p + 17; q = w + 16; r = g + 19. If j = 17, determine the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 108,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = r + 12 to q, which gives q = r + 28.\n2. Substitute r = g + 19 to q, which gives q = g + 47.\n3. Substitute g = y + 13 to q, which gives q = y + 60.\n4. Substitute y = x + 12 to q, which gives q = x + 72.\n5. Substitute x = j + 19 to q, which gives q = j + 91.\n6. Substitute j = 17 to q, which gives q = 108.\n\nThus, the final answer is q = \\boxed{108}.",
"index": 24733,
"question": "Consider a system of variables where each variable is defined as follows: g = y + 13; p = a + 1; u = k + 18; m = b + 4; k = m + 7; x = j + 19; y = x + 12; j = 17; w = r + 12; a = j + 8; b = p + 17; q = w + 16; r = g + 19. If j = 17, determine the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"q": "m + 17", "u": "q + 8", "z": "u + 3", "g": "z + 19", "k": "g + 5", "i": "k + 7", "f": "m + 17", "x": "f + 1", "h": "x + 12", "a": "h + 16", "n": "a + 8", "w": "n + 11", "m": 9}, "premises": {"m": 9}, "target": "i"}, "answer": {"steps": [["k", "g + 5", "g + 12"], ["g", "z + 19", "z + 31"], ["z", "u + 3", "u + 34"], ["u", "q + 8", "q + 42"], ["q", "m + 17", "m + 59"], ["m", 9, "68"]], "target_var_name": "i", "target_value": 68, "value_dict": {"m": 9}, "is_reverse": true}}
| 24,734
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = m + 17; w = n + 11; q = m + 17; a = h + 16; i = k + 7; g = z + 19; z = u + 3; k = g + 5; n = a + 8; h = x + 12; m = 9; u = q + 8; x = f + 1. Given that m = 9, find the value of i.",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute k = g + 5 to i, which gives i = g + 12.\n2. Substitute g = z + 19 to i, which gives i = z + 31.\n3. Substitute z = u + 3 to i, which gives i = u + 34.\n4. Substitute u = q + 8 to i, which gives i = q + 42.\n5. Substitute q = m + 17 to i, which gives i = m + 59.\n6. Substitute m = 9 to i, which gives i = 68.\n\nThus, the final answer is i = \\boxed{68}.",
"index": 24734,
"question": "Suppose a collection of variables is related by the following definitions: f = m + 17; w = n + 11; q = m + 17; a = h + 16; i = k + 7; g = z + 19; z = u + 3; k = g + 5; n = a + 8; h = x + 12; m = 9; u = q + 8; x = f + 1. Given that m = 9, find the value of i.",
"split": "train"
}
|
{"problem": {"rules": {"p": "g + 20", "j": "p + 7", "u": "j + 3", "a": "u + 14", "q": "a + 19", "h": "q + 14", "t": "g + 18", "o": "t + 13", "y": "o + 16", "i": "y + 5", "l": "i + 20", "e": "l + 12", "g": 1}, "premises": {"g": 1}, "target": "h"}, "answer": {"steps": [["q", "a + 19", "a + 33"], ["a", "u + 14", "u + 47"], ["u", "j + 3", "j + 50"], ["j", "p + 7", "p + 57"], ["p", "g + 20", "g + 77"], ["g", 1, "78"]], "target_var_name": "h", "target_value": 78, "value_dict": {"g": 1}, "is_reverse": true}}
| 24,735
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = u + 14; i = y + 5; t = g + 18; e = l + 12; y = o + 16; g = 1; q = a + 19; o = t + 13; p = g + 20; j = p + 7; h = q + 14; l = i + 20; u = j + 3. If g = 1, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = a + 19 to h, which gives h = a + 33.\n2. Substitute a = u + 14 to h, which gives h = u + 47.\n3. Substitute u = j + 3 to h, which gives h = j + 50.\n4. Substitute j = p + 7 to h, which gives h = p + 57.\n5. Substitute p = g + 20 to h, which gives h = g + 77.\n6. Substitute g = 1 to h, which gives h = 78.\n\nThus, the final answer is h = \\boxed{78}.",
"index": 24735,
"question": "Consider a system of variables where each variable is defined as follows: a = u + 14; i = y + 5; t = g + 18; e = l + 12; y = o + 16; g = 1; q = a + 19; o = t + 13; p = g + 20; j = p + 7; h = q + 14; l = i + 20; u = j + 3. If g = 1, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"b": "u + 17", "c": "b + 3", "r": "c + 19", "w": "r + 15", "j": "w + 2", "z": "j + 11", "h": "u + 3", "m": "h + 20", "q": "m + 6", "g": "q + 20", "n": "g + 10", "s": "n + 14", "u": 19}, "premises": {"u": 19}, "target": "z"}, "answer": {"steps": [["j", "w + 2", "w + 13"], ["w", "r + 15", "r + 28"], ["r", "c + 19", "c + 47"], ["c", "b + 3", "b + 50"], ["b", "u + 17", "u + 67"], ["u", 19, "86"]], "target_var_name": "z", "target_value": 86, "value_dict": {"u": 19}, "is_reverse": true}}
| 24,736
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 20; w = r + 15; s = n + 14; c = b + 3; n = g + 10; u = 19; q = m + 6; h = u + 3; j = w + 2; m = h + 20; z = j + 11; r = c + 19; b = u + 17. If u = 19, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = w + 2 to z, which gives z = w + 13.\n2. Substitute w = r + 15 to z, which gives z = r + 28.\n3. Substitute r = c + 19 to z, which gives z = c + 47.\n4. Substitute c = b + 3 to z, which gives z = b + 50.\n5. Substitute b = u + 17 to z, which gives z = u + 67.\n6. Substitute u = 19 to z, which gives z = 86.\n\nThus, the final answer is z = \\boxed{86}.",
"index": 24736,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = q + 20; w = r + 15; s = n + 14; c = b + 3; n = g + 10; u = 19; q = m + 6; h = u + 3; j = w + 2; m = h + 20; z = j + 11; r = c + 19; b = u + 17. If u = 19, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"m": "f + 13", "v": "m + 5", "h": "v + 3", "p": "h + 13", "q": "p + 15", "t": "q + 5", "i": "f + 16", "n": "i + 8", "s": "n + 12", "o": "s + 17", "y": "o + 8", "w": "y + 1", "f": 6}, "premises": {"f": 6}, "target": "t"}, "answer": {"steps": [["q", "p + 15", "p + 20"], ["p", "h + 13", "h + 33"], ["h", "v + 3", "v + 36"], ["v", "m + 5", "m + 41"], ["m", "f + 13", "f + 54"], ["f", 6, "60"]], "target_var_name": "t", "target_value": 60, "value_dict": {"f": 6}, "is_reverse": true}}
| 24,737
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = 6; o = s + 17; m = f + 13; t = q + 5; n = i + 8; s = n + 12; i = f + 16; h = v + 3; w = y + 1; y = o + 8; p = h + 13; q = p + 15; v = m + 5. If f = 6, determine the value of t.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = p + 15 to t, which gives t = p + 20.\n2. Substitute p = h + 13 to t, which gives t = h + 33.\n3. Substitute h = v + 3 to t, which gives t = v + 36.\n4. Substitute v = m + 5 to t, which gives t = m + 41.\n5. Substitute m = f + 13 to t, which gives t = f + 54.\n6. Substitute f = 6 to t, which gives t = 60.\n\nThus, the final answer is t = \\boxed{60}.",
"index": 24737,
"question": "Consider a system of variables where each variable is defined as follows: f = 6; o = s + 17; m = f + 13; t = q + 5; n = i + 8; s = n + 12; i = f + 16; h = v + 3; w = y + 1; y = o + 8; p = h + 13; q = p + 15; v = m + 5. If f = 6, determine the value of t.",
"split": "train"
}
|
{"problem": {"rules": {"h": "n + 6", "w": "h + 1", "o": "w + 8", "i": "o + 13", "s": "i + 9", "p": "s + 2", "l": "n + 12", "b": "l + 6", "f": "b + 15", "m": "f + 18", "v": "m + 9", "j": "v + 14", "n": 18}, "premises": {"n": 18}, "target": "p"}, "answer": {"steps": [["s", "i + 9", "i + 11"], ["i", "o + 13", "o + 24"], ["o", "w + 8", "w + 32"], ["w", "h + 1", "h + 33"], ["h", "n + 6", "n + 39"], ["n", 18, "57"]], "target_var_name": "p", "target_value": 57, "value_dict": {"n": 18}, "is_reverse": true}}
| 24,738
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 9; b = l + 6; p = s + 2; i = o + 13; l = n + 12; w = h + 1; f = b + 15; j = v + 14; o = w + 8; m = f + 18; n = 18; v = m + 9; h = n + 6. If n = 18, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = i + 9 to p, which gives p = i + 11.\n2. Substitute i = o + 13 to p, which gives p = o + 24.\n3. Substitute o = w + 8 to p, which gives p = w + 32.\n4. Substitute w = h + 1 to p, which gives p = h + 33.\n5. Substitute h = n + 6 to p, which gives p = n + 39.\n6. Substitute n = 18 to p, which gives p = 57.\n\nThus, the final answer is p = \\boxed{57}.",
"index": 24738,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: s = i + 9; b = l + 6; p = s + 2; i = o + 13; l = n + 12; w = h + 1; f = b + 15; j = v + 14; o = w + 8; m = f + 18; n = 18; v = m + 9; h = n + 6. If n = 18, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"s": "q + 2", "b": "s + 8", "y": "b + 16", "d": "y + 8", "z": "d + 8", "n": "z + 20", "l": "q + 19", "f": "l + 17", "p": "f + 4", "t": "p + 15", "g": "t + 11", "j": "g + 1", "q": 8}, "premises": {"q": 8}, "target": "n"}, "answer": {"steps": [["z", "d + 8", "d + 28"], ["d", "y + 8", "y + 36"], ["y", "b + 16", "b + 52"], ["b", "s + 8", "s + 60"], ["s", "q + 2", "q + 62"], ["q", 8, "70"]], "target_var_name": "n", "target_value": 70, "value_dict": {"q": 8}, "is_reverse": true}}
| 24,739
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: l = q + 19; y = b + 16; p = f + 4; n = z + 20; f = l + 17; z = d + 8; t = p + 15; b = s + 8; g = t + 11; q = 8; d = y + 8; j = g + 1; s = q + 2. Given that q = 8, find the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = d + 8 to n, which gives n = d + 28.\n2. Substitute d = y + 8 to n, which gives n = y + 36.\n3. Substitute y = b + 16 to n, which gives n = b + 52.\n4. Substitute b = s + 8 to n, which gives n = s + 60.\n5. Substitute s = q + 2 to n, which gives n = q + 62.\n6. Substitute q = 8 to n, which gives n = 70.\n\nThus, the final answer is n = \\boxed{70}.",
"index": 24739,
"question": "Suppose a collection of variables is related by the following definitions: l = q + 19; y = b + 16; p = f + 4; n = z + 20; f = l + 17; z = d + 8; t = p + 15; b = s + 8; g = t + 11; q = 8; d = y + 8; j = g + 1; s = q + 2. Given that q = 8, find the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "m + 9", "s": "r + 16", "a": "s + 14", "w": "a + 9", "t": "w + 18", "y": "t + 20", "b": "m + 3", "g": "b + 7", "x": "g + 10", "u": "x + 17", "k": "u + 6", "f": "k + 12", "m": 9}, "premises": {"m": 9}, "target": "y"}, "answer": {"steps": [["t", "w + 18", "w + 38"], ["w", "a + 9", "a + 47"], ["a", "s + 14", "s + 61"], ["s", "r + 16", "r + 77"], ["r", "m + 9", "m + 86"], ["m", 9, "95"]], "target_var_name": "y", "target_value": 95, "value_dict": {"m": 9}, "is_reverse": true}}
| 24,740
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = r + 16; w = a + 9; m = 9; u = x + 17; b = m + 3; k = u + 6; f = k + 12; y = t + 20; x = g + 10; a = s + 14; t = w + 18; g = b + 7; r = m + 9. Given that m = 9, find the value of y.",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = w + 18 to y, which gives y = w + 38.\n2. Substitute w = a + 9 to y, which gives y = a + 47.\n3. Substitute a = s + 14 to y, which gives y = s + 61.\n4. Substitute s = r + 16 to y, which gives y = r + 77.\n5. Substitute r = m + 9 to y, which gives y = m + 86.\n6. Substitute m = 9 to y, which gives y = 95.\n\nThus, the final answer is y = \\boxed{95}.",
"index": 24740,
"question": "Suppose a collection of variables is related by the following definitions: s = r + 16; w = a + 9; m = 9; u = x + 17; b = m + 3; k = u + 6; f = k + 12; y = t + 20; x = g + 10; a = s + 14; t = w + 18; g = b + 7; r = m + 9. Given that m = 9, find the value of y.",
"split": "train"
}
|
{"problem": {"rules": {"y": "g + 6", "e": "y + 16", "o": "e + 17", "b": "o + 2", "u": "b + 15", "l": "u + 14", "s": "g + 14", "j": "s + 14", "n": "j + 4", "z": "n + 18", "f": "z + 1", "w": "f + 16", "g": 8}, "premises": {"g": 8}, "target": "l"}, "answer": {"steps": [["u", "b + 15", "b + 29"], ["b", "o + 2", "o + 31"], ["o", "e + 17", "e + 48"], ["e", "y + 16", "y + 64"], ["y", "g + 6", "g + 70"], ["g", 8, "78"]], "target_var_name": "l", "target_value": 78, "value_dict": {"g": 8}, "is_reverse": true}}
| 24,741
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: f = z + 1; j = s + 14; l = u + 14; n = j + 4; s = g + 14; e = y + 16; y = g + 6; z = n + 18; o = e + 17; g = 8; u = b + 15; b = o + 2; w = f + 16. Given that g = 8, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute u = b + 15 to l, which gives l = b + 29.\n2. Substitute b = o + 2 to l, which gives l = o + 31.\n3. Substitute o = e + 17 to l, which gives l = e + 48.\n4. Substitute e = y + 16 to l, which gives l = y + 64.\n5. Substitute y = g + 6 to l, which gives l = g + 70.\n6. Substitute g = 8 to l, which gives l = 78.\n\nThus, the final answer is l = \\boxed{78}.",
"index": 24741,
"question": "Suppose a collection of variables is related by the following definitions: f = z + 1; j = s + 14; l = u + 14; n = j + 4; s = g + 14; e = y + 16; y = g + 6; z = n + 18; o = e + 17; g = 8; u = b + 15; b = o + 2; w = f + 16. Given that g = 8, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"z": "k + 7", "q": "z + 1", "u": "q + 14", "g": "u + 16", "d": "g + 1", "p": "d + 9", "r": "k + 1", "o": "r + 7", "m": "o + 10", "n": "m + 5", "h": "n + 8", "e": "h + 8", "k": 2}, "premises": {"k": 2}, "target": "p"}, "answer": {"steps": [["d", "g + 1", "g + 10"], ["g", "u + 16", "u + 26"], ["u", "q + 14", "q + 40"], ["q", "z + 1", "z + 41"], ["z", "k + 7", "k + 48"], ["k", 2, "50"]], "target_var_name": "p", "target_value": 50, "value_dict": {"k": 2}, "is_reverse": true}}
| 24,742
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = d + 9; r = k + 1; o = r + 7; k = 2; e = h + 8; d = g + 1; z = k + 7; h = n + 8; m = o + 10; n = m + 5; g = u + 16; q = z + 1; u = q + 14. If k = 2, determine the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = g + 1 to p, which gives p = g + 10.\n2. Substitute g = u + 16 to p, which gives p = u + 26.\n3. Substitute u = q + 14 to p, which gives p = q + 40.\n4. Substitute q = z + 1 to p, which gives p = z + 41.\n5. Substitute z = k + 7 to p, which gives p = k + 48.\n6. Substitute k = 2 to p, which gives p = 50.\n\nThus, the final answer is p = \\boxed{50}.",
"index": 24742,
"question": "Consider a system of variables where each variable is defined as follows: p = d + 9; r = k + 1; o = r + 7; k = 2; e = h + 8; d = g + 1; z = k + 7; h = n + 8; m = o + 10; n = m + 5; g = u + 16; q = z + 1; u = q + 14. If k = 2, determine the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"x": "j + 20", "t": "x + 12", "c": "t + 12", "w": "c + 14", "d": "w + 18", "l": "d + 4", "s": "j + 3", "a": "s + 11", "m": "a + 3", "y": "m + 19", "o": "y + 12", "r": "o + 7", "j": 2}, "premises": {"j": 2}, "target": "l"}, "answer": {"steps": [["d", "w + 18", "w + 22"], ["w", "c + 14", "c + 36"], ["c", "t + 12", "t + 48"], ["t", "x + 12", "x + 60"], ["x", "j + 20", "j + 80"], ["j", 2, "82"]], "target_var_name": "l", "target_value": 82, "value_dict": {"j": 2}, "is_reverse": true}}
| 24,743
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: d = w + 18; j = 2; c = t + 12; m = a + 3; l = d + 4; x = j + 20; y = m + 19; o = y + 12; r = o + 7; w = c + 14; t = x + 12; s = j + 3; a = s + 11. Given that j = 2, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 82,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = w + 18 to l, which gives l = w + 22.\n2. Substitute w = c + 14 to l, which gives l = c + 36.\n3. Substitute c = t + 12 to l, which gives l = t + 48.\n4. Substitute t = x + 12 to l, which gives l = x + 60.\n5. Substitute x = j + 20 to l, which gives l = j + 80.\n6. Substitute j = 2 to l, which gives l = 82.\n\nThus, the final answer is l = \\boxed{82}.",
"index": 24743,
"question": "Suppose a collection of variables is related by the following definitions: d = w + 18; j = 2; c = t + 12; m = a + 3; l = d + 4; x = j + 20; y = m + 19; o = y + 12; r = o + 7; w = c + 14; t = x + 12; s = j + 3; a = s + 11. Given that j = 2, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"e": "r + 16", "m": "e + 6", "z": "m + 6", "v": "z + 4", "b": "v + 7", "h": "b + 13", "y": "r + 17", "k": "y + 2", "j": "k + 19", "a": "j + 5", "u": "a + 10", "t": "u + 15", "r": 5}, "premises": {"r": 5}, "target": "h"}, "answer": {"steps": [["b", "v + 7", "v + 20"], ["v", "z + 4", "z + 24"], ["z", "m + 6", "m + 30"], ["m", "e + 6", "e + 36"], ["e", "r + 16", "r + 52"], ["r", 5, "57"]], "target_var_name": "h", "target_value": 57, "value_dict": {"r": 5}, "is_reverse": true}}
| 24,744
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 19; t = u + 15; y = r + 17; h = b + 13; z = m + 6; m = e + 6; k = y + 2; u = a + 10; v = z + 4; r = 5; e = r + 16; b = v + 7; a = j + 5. If r = 5, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 7 to h, which gives h = v + 20.\n2. Substitute v = z + 4 to h, which gives h = z + 24.\n3. Substitute z = m + 6 to h, which gives h = m + 30.\n4. Substitute m = e + 6 to h, which gives h = e + 36.\n5. Substitute e = r + 16 to h, which gives h = r + 52.\n6. Substitute r = 5 to h, which gives h = 57.\n\nThus, the final answer is h = \\boxed{57}.",
"index": 24744,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: j = k + 19; t = u + 15; y = r + 17; h = b + 13; z = m + 6; m = e + 6; k = y + 2; u = a + 10; v = z + 4; r = 5; e = r + 16; b = v + 7; a = j + 5. If r = 5, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"l": "v + 11", "s": "l + 3", "n": "s + 9", "w": "n + 5", "c": "w + 13", "o": "c + 4", "y": "v + 8", "m": "y + 1", "z": "m + 5", "k": "z + 5", "f": "k + 13", "d": "f + 8", "v": 12}, "premises": {"v": 12}, "target": "o"}, "answer": {"steps": [["c", "w + 13", "w + 17"], ["w", "n + 5", "n + 22"], ["n", "s + 9", "s + 31"], ["s", "l + 3", "l + 34"], ["l", "v + 11", "v + 45"], ["v", 12, "57"]], "target_var_name": "o", "target_value": 57, "value_dict": {"v": 12}, "is_reverse": true}}
| 24,745
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: m = y + 1; v = 12; s = l + 3; y = v + 8; f = k + 13; l = v + 11; k = z + 5; z = m + 5; c = w + 13; o = c + 4; d = f + 8; n = s + 9; w = n + 5. If v = 12, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = w + 13 to o, which gives o = w + 17.\n2. Substitute w = n + 5 to o, which gives o = n + 22.\n3. Substitute n = s + 9 to o, which gives o = s + 31.\n4. Substitute s = l + 3 to o, which gives o = l + 34.\n5. Substitute l = v + 11 to o, which gives o = v + 45.\n6. Substitute v = 12 to o, which gives o = 57.\n\nThus, the final answer is o = \\boxed{57}.",
"index": 24745,
"question": "Consider a system of variables where each variable is defined as follows: m = y + 1; v = 12; s = l + 3; y = v + 8; f = k + 13; l = v + 11; k = z + 5; z = m + 5; c = w + 13; o = c + 4; d = f + 8; n = s + 9; w = n + 5. If v = 12, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"n": "t + 16", "f": "n + 9", "q": "f + 8", "o": "q + 12", "i": "o + 17", "l": "i + 2", "z": "t + 13", "b": "z + 4", "v": "b + 12", "k": "v + 15", "j": "k + 11", "y": "j + 18", "t": 17}, "premises": {"t": 17}, "target": "l"}, "answer": {"steps": [["i", "o + 17", "o + 19"], ["o", "q + 12", "q + 31"], ["q", "f + 8", "f + 39"], ["f", "n + 9", "n + 48"], ["n", "t + 16", "t + 64"], ["t", 17, "81"]], "target_var_name": "l", "target_value": 81, "value_dict": {"t": 17}, "is_reverse": true}}
| 24,746
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = i + 2; t = 17; i = o + 17; o = q + 12; y = j + 18; f = n + 9; z = t + 13; k = v + 15; j = k + 11; v = b + 12; n = t + 16; b = z + 4; q = f + 8. If t = 17, determine the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = o + 17 to l, which gives l = o + 19.\n2. Substitute o = q + 12 to l, which gives l = q + 31.\n3. Substitute q = f + 8 to l, which gives l = f + 39.\n4. Substitute f = n + 9 to l, which gives l = n + 48.\n5. Substitute n = t + 16 to l, which gives l = t + 64.\n6. Substitute t = 17 to l, which gives l = 81.\n\nThus, the final answer is l = \\boxed{81}.",
"index": 24746,
"question": "Consider a system of variables where each variable is defined as follows: l = i + 2; t = 17; i = o + 17; o = q + 12; y = j + 18; f = n + 9; z = t + 13; k = v + 15; j = k + 11; v = b + 12; n = t + 16; b = z + 4; q = f + 8. If t = 17, determine the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"a": "p + 9", "x": "a + 14", "i": "x + 20", "d": "i + 7", "c": "d + 12", "h": "c + 16", "g": "p + 18", "y": "g + 19", "t": "y + 13", "v": "t + 6", "o": "v + 5", "b": "o + 12", "p": 20}, "premises": {"p": 20}, "target": "h"}, "answer": {"steps": [["c", "d + 12", "d + 28"], ["d", "i + 7", "i + 35"], ["i", "x + 20", "x + 55"], ["x", "a + 14", "a + 69"], ["a", "p + 9", "p + 78"], ["p", 20, "98"]], "target_var_name": "h", "target_value": 98, "value_dict": {"p": 20}, "is_reverse": true}}
| 24,747
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 18; p = 20; d = i + 7; x = a + 14; b = o + 12; t = y + 13; i = x + 20; y = g + 19; a = p + 9; c = d + 12; v = t + 6; h = c + 16; o = v + 5. If p = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 98,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = d + 12 to h, which gives h = d + 28.\n2. Substitute d = i + 7 to h, which gives h = i + 35.\n3. Substitute i = x + 20 to h, which gives h = x + 55.\n4. Substitute x = a + 14 to h, which gives h = a + 69.\n5. Substitute a = p + 9 to h, which gives h = p + 78.\n6. Substitute p = 20 to h, which gives h = 98.\n\nThus, the final answer is h = \\boxed{98}.",
"index": 24747,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = p + 18; p = 20; d = i + 7; x = a + 14; b = o + 12; t = y + 13; i = x + 20; y = g + 19; a = p + 9; c = d + 12; v = t + 6; h = c + 16; o = v + 5. If p = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"f": "w + 15", "m": "f + 12", "z": "m + 3", "a": "z + 16", "e": "a + 2", "j": "e + 14", "l": "w + 12", "o": "l + 20", "c": "o + 17", "r": "c + 14", "y": "r + 15", "v": "y + 1", "w": 3}, "premises": {"w": 3}, "target": "j"}, "answer": {"steps": [["e", "a + 2", "a + 16"], ["a", "z + 16", "z + 32"], ["z", "m + 3", "m + 35"], ["m", "f + 12", "f + 47"], ["f", "w + 15", "w + 62"], ["w", 3, "65"]], "target_var_name": "j", "target_value": 65, "value_dict": {"w": 3}, "is_reverse": true}}
| 24,748
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 15; a = z + 16; e = a + 2; m = f + 12; v = y + 1; c = o + 17; f = w + 15; z = m + 3; r = c + 14; l = w + 12; o = l + 20; w = 3; j = e + 14. If w = 3, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = a + 2 to j, which gives j = a + 16.\n2. Substitute a = z + 16 to j, which gives j = z + 32.\n3. Substitute z = m + 3 to j, which gives j = m + 35.\n4. Substitute m = f + 12 to j, which gives j = f + 47.\n5. Substitute f = w + 15 to j, which gives j = w + 62.\n6. Substitute w = 3 to j, which gives j = 65.\n\nThus, the final answer is j = \\boxed{65}.",
"index": 24748,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: y = r + 15; a = z + 16; e = a + 2; m = f + 12; v = y + 1; c = o + 17; f = w + 15; z = m + 3; r = c + 14; l = w + 12; o = l + 20; w = 3; j = e + 14. If w = 3, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"y": "t + 18", "i": "y + 20", "b": "i + 14", "a": "b + 11", "j": "a + 19", "h": "j + 13", "c": "t + 2", "w": "c + 16", "g": "w + 15", "v": "g + 2", "s": "v + 3", "q": "s + 15", "t": 20}, "premises": {"t": 20}, "target": "h"}, "answer": {"steps": [["j", "a + 19", "a + 32"], ["a", "b + 11", "b + 43"], ["b", "i + 14", "i + 57"], ["i", "y + 20", "y + 77"], ["y", "t + 18", "t + 95"], ["t", 20, "115"]], "target_var_name": "h", "target_value": 115, "value_dict": {"t": 20}, "is_reverse": true}}
| 24,749
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: a = b + 11; j = a + 19; b = i + 14; y = t + 18; s = v + 3; i = y + 20; q = s + 15; t = 20; w = c + 16; v = g + 2; h = j + 13; c = t + 2; g = w + 15. Given that t = 20, find the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 115,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 19 to h, which gives h = a + 32.\n2. Substitute a = b + 11 to h, which gives h = b + 43.\n3. Substitute b = i + 14 to h, which gives h = i + 57.\n4. Substitute i = y + 20 to h, which gives h = y + 77.\n5. Substitute y = t + 18 to h, which gives h = t + 95.\n6. Substitute t = 20 to h, which gives h = 115.\n\nThus, the final answer is h = \\boxed{115}.",
"index": 24749,
"question": "Suppose a collection of variables is related by the following definitions: a = b + 11; j = a + 19; b = i + 14; y = t + 18; s = v + 3; i = y + 20; q = s + 15; t = 20; w = c + 16; v = g + 2; h = j + 13; c = t + 2; g = w + 15. Given that t = 20, find the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"k": "q + 17", "a": "k + 17", "e": "a + 2", "w": "e + 18", "n": "w + 6", "b": "n + 16", "o": "q + 5", "c": "o + 8", "p": "c + 18", "t": "p + 3", "i": "t + 11", "j": "i + 3", "q": 13}, "premises": {"q": 13}, "target": "b"}, "answer": {"steps": [["n", "w + 6", "w + 22"], ["w", "e + 18", "e + 40"], ["e", "a + 2", "a + 42"], ["a", "k + 17", "k + 59"], ["k", "q + 17", "q + 76"], ["q", 13, "89"]], "target_var_name": "b", "target_value": 89, "value_dict": {"q": 13}, "is_reverse": true}}
| 24,750
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: i = t + 11; c = o + 8; o = q + 5; e = a + 2; w = e + 18; b = n + 16; n = w + 6; k = q + 17; j = i + 3; p = c + 18; q = 13; a = k + 17; t = p + 3. Given that q = 13, find the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = w + 6 to b, which gives b = w + 22.\n2. Substitute w = e + 18 to b, which gives b = e + 40.\n3. Substitute e = a + 2 to b, which gives b = a + 42.\n4. Substitute a = k + 17 to b, which gives b = k + 59.\n5. Substitute k = q + 17 to b, which gives b = q + 76.\n6. Substitute q = 13 to b, which gives b = 89.\n\nThus, the final answer is b = \\boxed{89}.",
"index": 24750,
"question": "Suppose a collection of variables is related by the following definitions: i = t + 11; c = o + 8; o = q + 5; e = a + 2; w = e + 18; b = n + 16; n = w + 6; k = q + 17; j = i + 3; p = c + 18; q = 13; a = k + 17; t = p + 3. Given that q = 13, find the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"e": "m + 17", "f": "e + 11", "k": "f + 14", "v": "k + 17", "b": "v + 8", "n": "b + 2", "p": "m + 1", "x": "p + 10", "g": "x + 20", "s": "g + 17", "c": "s + 4", "q": "c + 10", "m": 17}, "premises": {"m": 17}, "target": "n"}, "answer": {"steps": [["b", "v + 8", "v + 10"], ["v", "k + 17", "k + 27"], ["k", "f + 14", "f + 41"], ["f", "e + 11", "e + 52"], ["e", "m + 17", "m + 69"], ["m", 17, "86"]], "target_var_name": "n", "target_value": 86, "value_dict": {"m": 17}, "is_reverse": true}}
| 24,751
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: p = m + 1; g = x + 20; s = g + 17; v = k + 17; x = p + 10; c = s + 4; k = f + 14; n = b + 2; q = c + 10; e = m + 17; b = v + 8; f = e + 11; m = 17. If m = 17, determine the value of n.",
"role": "user"
}
] |
math
|
{
"ground_truth": 86,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = v + 8 to n, which gives n = v + 10.\n2. Substitute v = k + 17 to n, which gives n = k + 27.\n3. Substitute k = f + 14 to n, which gives n = f + 41.\n4. Substitute f = e + 11 to n, which gives n = e + 52.\n5. Substitute e = m + 17 to n, which gives n = m + 69.\n6. Substitute m = 17 to n, which gives n = 86.\n\nThus, the final answer is n = \\boxed{86}.",
"index": 24751,
"question": "Consider a system of variables where each variable is defined as follows: p = m + 1; g = x + 20; s = g + 17; v = k + 17; x = p + 10; c = s + 4; k = f + 14; n = b + 2; q = c + 10; e = m + 17; b = v + 8; f = e + 11; m = 17. If m = 17, determine the value of n.",
"split": "train"
}
|
{"problem": {"rules": {"r": "n + 3", "l": "r + 13", "g": "l + 20", "k": "g + 13", "i": "k + 20", "h": "i + 4", "m": "n + 12", "p": "m + 9", "w": "p + 10", "x": "w + 5", "y": "x + 4", "f": "y + 1", "n": 8}, "premises": {"n": 8}, "target": "h"}, "answer": {"steps": [["i", "k + 20", "k + 24"], ["k", "g + 13", "g + 37"], ["g", "l + 20", "l + 57"], ["l", "r + 13", "r + 70"], ["r", "n + 3", "n + 73"], ["n", 8, "81"]], "target_var_name": "h", "target_value": 81, "value_dict": {"n": 8}, "is_reverse": true}}
| 24,752
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = k + 20; p = m + 9; l = r + 13; w = p + 10; n = 8; r = n + 3; h = i + 4; m = n + 12; f = y + 1; x = w + 5; y = x + 4; k = g + 13; g = l + 20. If n = 8, determine the value of h.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute i = k + 20 to h, which gives h = k + 24.\n2. Substitute k = g + 13 to h, which gives h = g + 37.\n3. Substitute g = l + 20 to h, which gives h = l + 57.\n4. Substitute l = r + 13 to h, which gives h = r + 70.\n5. Substitute r = n + 3 to h, which gives h = n + 73.\n6. Substitute n = 8 to h, which gives h = 81.\n\nThus, the final answer is h = \\boxed{81}.",
"index": 24752,
"question": "Consider a system of variables where each variable is defined as follows: i = k + 20; p = m + 9; l = r + 13; w = p + 10; n = 8; r = n + 3; h = i + 4; m = n + 12; f = y + 1; x = w + 5; y = x + 4; k = g + 13; g = l + 20. If n = 8, determine the value of h.",
"split": "train"
}
|
{"problem": {"rules": {"j": "z + 6", "b": "j + 3", "x": "b + 11", "r": "x + 4", "t": "r + 15", "o": "t + 2", "s": "z + 7", "v": "s + 10", "d": "v + 6", "u": "d + 1", "h": "u + 5", "i": "h + 7", "z": 2}, "premises": {"z": 2}, "target": "o"}, "answer": {"steps": [["t", "r + 15", "r + 17"], ["r", "x + 4", "x + 21"], ["x", "b + 11", "b + 32"], ["b", "j + 3", "j + 35"], ["j", "z + 6", "z + 41"], ["z", 2, "43"]], "target_var_name": "o", "target_value": 43, "value_dict": {"z": 2}, "is_reverse": true}}
| 24,753
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: t = r + 15; v = s + 10; j = z + 6; o = t + 2; b = j + 3; i = h + 7; x = b + 11; d = v + 6; h = u + 5; z = 2; s = z + 7; r = x + 4; u = d + 1. If z = 2, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 43,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = r + 15 to o, which gives o = r + 17.\n2. Substitute r = x + 4 to o, which gives o = x + 21.\n3. Substitute x = b + 11 to o, which gives o = b + 32.\n4. Substitute b = j + 3 to o, which gives o = j + 35.\n5. Substitute j = z + 6 to o, which gives o = z + 41.\n6. Substitute z = 2 to o, which gives o = 43.\n\nThus, the final answer is o = \\boxed{43}.",
"index": 24753,
"question": "Consider a system of variables where each variable is defined as follows: t = r + 15; v = s + 10; j = z + 6; o = t + 2; b = j + 3; i = h + 7; x = b + 11; d = v + 6; h = u + 5; z = 2; s = z + 7; r = x + 4; u = d + 1. If z = 2, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"u": "m + 12", "w": "u + 5", "p": "w + 4", "e": "p + 6", "n": "e + 18", "g": "n + 1", "y": "m + 19", "i": "y + 4", "h": "i + 17", "f": "h + 5", "d": "f + 6", "r": "d + 3", "m": 4}, "premises": {"m": 4}, "target": "g"}, "answer": {"steps": [["n", "e + 18", "e + 19"], ["e", "p + 6", "p + 25"], ["p", "w + 4", "w + 29"], ["w", "u + 5", "u + 34"], ["u", "m + 12", "m + 46"], ["m", 4, "50"]], "target_var_name": "g", "target_value": 50, "value_dict": {"m": 4}, "is_reverse": true}}
| 24,754
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = e + 18; d = f + 6; h = i + 17; e = p + 6; u = m + 12; w = u + 5; i = y + 4; g = n + 1; r = d + 3; m = 4; y = m + 19; p = w + 4; f = h + 5. Given that m = 4, find the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 50,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 18 to g, which gives g = e + 19.\n2. Substitute e = p + 6 to g, which gives g = p + 25.\n3. Substitute p = w + 4 to g, which gives g = w + 29.\n4. Substitute w = u + 5 to g, which gives g = u + 34.\n5. Substitute u = m + 12 to g, which gives g = m + 46.\n6. Substitute m = 4 to g, which gives g = 50.\n\nThus, the final answer is g = \\boxed{50}.",
"index": 24754,
"question": "Suppose a collection of variables is related by the following definitions: n = e + 18; d = f + 6; h = i + 17; e = p + 6; u = m + 12; w = u + 5; i = y + 4; g = n + 1; r = d + 3; m = 4; y = m + 19; p = w + 4; f = h + 5. Given that m = 4, find the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"w": "v + 9", "n": "w + 17", "g": "n + 8", "u": "g + 8", "d": "u + 8", "j": "d + 3", "l": "v + 8", "t": "l + 16", "p": "t + 14", "k": "p + 4", "f": "k + 16", "y": "f + 16", "v": 17}, "premises": {"v": 17}, "target": "j"}, "answer": {"steps": [["d", "u + 8", "u + 11"], ["u", "g + 8", "g + 19"], ["g", "n + 8", "n + 27"], ["n", "w + 17", "w + 44"], ["w", "v + 9", "v + 53"], ["v", 17, "70"]], "target_var_name": "j", "target_value": 70, "value_dict": {"v": 17}, "is_reverse": true}}
| 24,755
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 16; l = v + 8; f = k + 16; w = v + 9; y = f + 16; p = t + 14; j = d + 3; v = 17; g = n + 8; d = u + 8; n = w + 17; u = g + 8; k = p + 4. If v = 17, what is the resulting value of j?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = u + 8 to j, which gives j = u + 11.\n2. Substitute u = g + 8 to j, which gives j = g + 19.\n3. Substitute g = n + 8 to j, which gives j = n + 27.\n4. Substitute n = w + 17 to j, which gives j = w + 44.\n5. Substitute w = v + 9 to j, which gives j = v + 53.\n6. Substitute v = 17 to j, which gives j = 70.\n\nThus, the final answer is j = \\boxed{70}.",
"index": 24755,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = l + 16; l = v + 8; f = k + 16; w = v + 9; y = f + 16; p = t + 14; j = d + 3; v = 17; g = n + 8; d = u + 8; n = w + 17; u = g + 8; k = p + 4. If v = 17, what is the resulting value of j?",
"split": "train"
}
|
{"problem": {"rules": {"w": "a + 2", "i": "w + 13", "g": "i + 9", "j": "g + 14", "t": "j + 8", "b": "t + 16", "l": "a + 20", "r": "l + 8", "m": "r + 7", "h": "m + 12", "y": "h + 7", "o": "y + 16", "a": 9}, "premises": {"a": 9}, "target": "b"}, "answer": {"steps": [["t", "j + 8", "j + 24"], ["j", "g + 14", "g + 38"], ["g", "i + 9", "i + 47"], ["i", "w + 13", "w + 60"], ["w", "a + 2", "a + 62"], ["a", 9, "71"]], "target_var_name": "b", "target_value": 71, "value_dict": {"a": 9}, "is_reverse": true}}
| 24,756
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 8; j = g + 14; o = y + 16; i = w + 13; g = i + 9; b = t + 16; r = l + 8; w = a + 2; m = r + 7; y = h + 7; a = 9; h = m + 12; l = a + 20. If a = 9, what is the resulting value of b?",
"role": "user"
}
] |
math
|
{
"ground_truth": 71,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = j + 8 to b, which gives b = j + 24.\n2. Substitute j = g + 14 to b, which gives b = g + 38.\n3. Substitute g = i + 9 to b, which gives b = i + 47.\n4. Substitute i = w + 13 to b, which gives b = w + 60.\n5. Substitute w = a + 2 to b, which gives b = a + 62.\n6. Substitute a = 9 to b, which gives b = 71.\n\nThus, the final answer is b = \\boxed{71}.",
"index": 24756,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = j + 8; j = g + 14; o = y + 16; i = w + 13; g = i + 9; b = t + 16; r = l + 8; w = a + 2; m = r + 7; y = h + 7; a = 9; h = m + 12; l = a + 20. If a = 9, what is the resulting value of b?",
"split": "train"
}
|
{"problem": {"rules": {"i": "y + 19", "s": "i + 10", "c": "s + 19", "r": "c + 4", "j": "r + 6", "k": "j + 9", "q": "y + 12", "p": "q + 15", "e": "p + 13", "u": "e + 8", "z": "u + 17", "f": "z + 15", "y": 20}, "premises": {"y": 20}, "target": "k"}, "answer": {"steps": [["j", "r + 6", "r + 15"], ["r", "c + 4", "c + 19"], ["c", "s + 19", "s + 38"], ["s", "i + 10", "i + 48"], ["i", "y + 19", "y + 67"], ["y", 20, "87"]], "target_var_name": "k", "target_value": 87, "value_dict": {"y": 20}, "is_reverse": true}}
| 24,757
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 17; q = y + 12; c = s + 19; j = r + 6; f = z + 15; k = j + 9; i = y + 19; u = e + 8; p = q + 15; s = i + 10; e = p + 13; y = 20; r = c + 4. If y = 20, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = r + 6 to k, which gives k = r + 15.\n2. Substitute r = c + 4 to k, which gives k = c + 19.\n3. Substitute c = s + 19 to k, which gives k = s + 38.\n4. Substitute s = i + 10 to k, which gives k = i + 48.\n5. Substitute i = y + 19 to k, which gives k = y + 67.\n6. Substitute y = 20 to k, which gives k = 87.\n\nThus, the final answer is k = \\boxed{87}.",
"index": 24757,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = u + 17; q = y + 12; c = s + 19; j = r + 6; f = z + 15; k = j + 9; i = y + 19; u = e + 8; p = q + 15; s = i + 10; e = p + 13; y = 20; r = c + 4. If y = 20, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"n": "q + 12", "e": "n + 9", "g": "e + 2", "i": "g + 9", "d": "i + 15", "p": "d + 1", "f": "q + 11", "m": "f + 8", "r": "m + 19", "u": "r + 15", "x": "u + 10", "a": "x + 18", "q": 17}, "premises": {"q": 17}, "target": "p"}, "answer": {"steps": [["d", "i + 15", "i + 16"], ["i", "g + 9", "g + 25"], ["g", "e + 2", "e + 27"], ["e", "n + 9", "n + 36"], ["n", "q + 12", "q + 48"], ["q", 17, "65"]], "target_var_name": "p", "target_value": 65, "value_dict": {"q": 17}, "is_reverse": true}}
| 24,758
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 15; n = q + 12; d = i + 15; r = m + 19; g = e + 2; q = 17; p = d + 1; i = g + 9; m = f + 8; a = x + 18; f = q + 11; x = u + 10; e = n + 9. If q = 17, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 15 to p, which gives p = i + 16.\n2. Substitute i = g + 9 to p, which gives p = g + 25.\n3. Substitute g = e + 2 to p, which gives p = e + 27.\n4. Substitute e = n + 9 to p, which gives p = n + 36.\n5. Substitute n = q + 12 to p, which gives p = q + 48.\n6. Substitute q = 17 to p, which gives p = 65.\n\nThus, the final answer is p = \\boxed{65}.",
"index": 24758,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: u = r + 15; n = q + 12; d = i + 15; r = m + 19; g = e + 2; q = 17; p = d + 1; i = g + 9; m = f + 8; a = x + 18; f = q + 11; x = u + 10; e = n + 9. If q = 17, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"c": "y + 16", "h": "c + 17", "s": "h + 18", "a": "s + 6", "j": "a + 8", "b": "j + 4", "z": "y + 13", "u": "z + 7", "q": "u + 19", "i": "q + 1", "g": "i + 12", "r": "g + 17", "y": 12}, "premises": {"y": 12}, "target": "b"}, "answer": {"steps": [["j", "a + 8", "a + 12"], ["a", "s + 6", "s + 18"], ["s", "h + 18", "h + 36"], ["h", "c + 17", "c + 53"], ["c", "y + 16", "y + 69"], ["y", 12, "81"]], "target_var_name": "b", "target_value": 81, "value_dict": {"y": 12}, "is_reverse": true}}
| 24,759
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: b = j + 4; z = y + 13; i = q + 1; a = s + 6; g = i + 12; s = h + 18; r = g + 17; u = z + 7; c = y + 16; h = c + 17; y = 12; j = a + 8; q = u + 19. If y = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = a + 8 to b, which gives b = a + 12.\n2. Substitute a = s + 6 to b, which gives b = s + 18.\n3. Substitute s = h + 18 to b, which gives b = h + 36.\n4. Substitute h = c + 17 to b, which gives b = c + 53.\n5. Substitute c = y + 16 to b, which gives b = y + 69.\n6. Substitute y = 12 to b, which gives b = 81.\n\nThus, the final answer is b = \\boxed{81}.",
"index": 24759,
"question": "Consider a system of variables where each variable is defined as follows: b = j + 4; z = y + 13; i = q + 1; a = s + 6; g = i + 12; s = h + 18; r = g + 17; u = z + 7; c = y + 16; h = c + 17; y = 12; j = a + 8; q = u + 19. If y = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"x": "s + 1", "c": "x + 2", "e": "c + 15", "h": "e + 17", "t": "h + 4", "u": "t + 18", "k": "s + 8", "l": "k + 18", "w": "l + 16", "z": "w + 11", "n": "z + 12", "q": "n + 8", "s": 10}, "premises": {"s": 10}, "target": "u"}, "answer": {"steps": [["t", "h + 4", "h + 22"], ["h", "e + 17", "e + 39"], ["e", "c + 15", "c + 54"], ["c", "x + 2", "x + 56"], ["x", "s + 1", "s + 57"], ["s", 10, "67"]], "target_var_name": "u", "target_value": 67, "value_dict": {"s": 10}, "is_reverse": true}}
| 24,760
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: q = n + 8; l = k + 18; u = t + 18; n = z + 12; w = l + 16; h = e + 17; c = x + 2; s = 10; k = s + 8; t = h + 4; e = c + 15; x = s + 1; z = w + 11. Given that s = 10, find the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute t = h + 4 to u, which gives u = h + 22.\n2. Substitute h = e + 17 to u, which gives u = e + 39.\n3. Substitute e = c + 15 to u, which gives u = c + 54.\n4. Substitute c = x + 2 to u, which gives u = x + 56.\n5. Substitute x = s + 1 to u, which gives u = s + 57.\n6. Substitute s = 10 to u, which gives u = 67.\n\nThus, the final answer is u = \\boxed{67}.",
"index": 24760,
"question": "Suppose a collection of variables is related by the following definitions: q = n + 8; l = k + 18; u = t + 18; n = z + 12; w = l + 16; h = e + 17; c = x + 2; s = 10; k = s + 8; t = h + 4; e = c + 15; x = s + 1; z = w + 11. Given that s = 10, find the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "u + 7", "z": "f + 14", "q": "z + 2", "v": "q + 9", "r": "v + 19", "x": "r + 19", "h": "u + 4", "s": "h + 6", "t": "s + 2", "k": "t + 11", "g": "k + 8", "a": "g + 2", "u": 10}, "premises": {"u": 10}, "target": "x"}, "answer": {"steps": [["r", "v + 19", "v + 38"], ["v", "q + 9", "q + 47"], ["q", "z + 2", "z + 49"], ["z", "f + 14", "f + 63"], ["f", "u + 7", "u + 70"], ["u", 10, "80"]], "target_var_name": "x", "target_value": 80, "value_dict": {"u": 10}, "is_reverse": true}}
| 24,761
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: k = t + 11; v = q + 9; q = z + 2; t = s + 2; h = u + 4; u = 10; r = v + 19; s = h + 6; z = f + 14; x = r + 19; a = g + 2; f = u + 7; g = k + 8. Given that u = 10, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 80,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = v + 19 to x, which gives x = v + 38.\n2. Substitute v = q + 9 to x, which gives x = q + 47.\n3. Substitute q = z + 2 to x, which gives x = z + 49.\n4. Substitute z = f + 14 to x, which gives x = f + 63.\n5. Substitute f = u + 7 to x, which gives x = u + 70.\n6. Substitute u = 10 to x, which gives x = 80.\n\nThus, the final answer is x = \\boxed{80}.",
"index": 24761,
"question": "Suppose a collection of variables is related by the following definitions: k = t + 11; v = q + 9; q = z + 2; t = s + 2; h = u + 4; u = 10; r = v + 19; s = h + 6; z = f + 14; x = r + 19; a = g + 2; f = u + 7; g = k + 8. Given that u = 10, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"g": "n + 10", "x": "g + 12", "z": "x + 15", "f": "z + 11", "s": "f + 2", "o": "s + 9", "e": "n + 16", "r": "e + 5", "q": "r + 7", "h": "q + 7", "u": "h + 18", "y": "u + 11", "n": 15}, "premises": {"n": 15}, "target": "o"}, "answer": {"steps": [["s", "f + 2", "f + 11"], ["f", "z + 11", "z + 22"], ["z", "x + 15", "x + 37"], ["x", "g + 12", "g + 49"], ["g", "n + 10", "n + 59"], ["n", 15, "74"]], "target_var_name": "o", "target_value": 74, "value_dict": {"n": 15}, "is_reverse": true}}
| 24,762
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: s = f + 2; q = r + 7; z = x + 15; r = e + 5; o = s + 9; y = u + 11; g = n + 10; e = n + 16; n = 15; u = h + 18; x = g + 12; f = z + 11; h = q + 7. Given that n = 15, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute s = f + 2 to o, which gives o = f + 11.\n2. Substitute f = z + 11 to o, which gives o = z + 22.\n3. Substitute z = x + 15 to o, which gives o = x + 37.\n4. Substitute x = g + 12 to o, which gives o = g + 49.\n5. Substitute g = n + 10 to o, which gives o = n + 59.\n6. Substitute n = 15 to o, which gives o = 74.\n\nThus, the final answer is o = \\boxed{74}.",
"index": 24762,
"question": "Suppose a collection of variables is related by the following definitions: s = f + 2; q = r + 7; z = x + 15; r = e + 5; o = s + 9; y = u + 11; g = n + 10; e = n + 16; n = 15; u = h + 18; x = g + 12; f = z + 11; h = q + 7. Given that n = 15, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"d": "c + 20", "v": "d + 19", "l": "v + 5", "e": "l + 7", "n": "e + 20", "u": "n + 14", "f": "c + 7", "p": "f + 11", "t": "p + 8", "a": "t + 3", "y": "a + 9", "h": "y + 2", "c": 3}, "premises": {"c": 3}, "target": "u"}, "answer": {"steps": [["n", "e + 20", "e + 34"], ["e", "l + 7", "l + 41"], ["l", "v + 5", "v + 46"], ["v", "d + 19", "d + 65"], ["d", "c + 20", "c + 85"], ["c", 3, "88"]], "target_var_name": "u", "target_value": 88, "value_dict": {"c": 3}, "is_reverse": true}}
| 24,763
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: a = t + 3; n = e + 20; h = y + 2; v = d + 19; y = a + 9; f = c + 7; p = f + 11; e = l + 7; u = n + 14; c = 3; d = c + 20; t = p + 8; l = v + 5. If c = 3, determine the value of u.",
"role": "user"
}
] |
math
|
{
"ground_truth": 88,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = e + 20 to u, which gives u = e + 34.\n2. Substitute e = l + 7 to u, which gives u = l + 41.\n3. Substitute l = v + 5 to u, which gives u = v + 46.\n4. Substitute v = d + 19 to u, which gives u = d + 65.\n5. Substitute d = c + 20 to u, which gives u = c + 85.\n6. Substitute c = 3 to u, which gives u = 88.\n\nThus, the final answer is u = \\boxed{88}.",
"index": 24763,
"question": "Consider a system of variables where each variable is defined as follows: a = t + 3; n = e + 20; h = y + 2; v = d + 19; y = a + 9; f = c + 7; p = f + 11; e = l + 7; u = n + 14; c = 3; d = c + 20; t = p + 8; l = v + 5. If c = 3, determine the value of u.",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 4", "l": "f + 3", "j": "l + 16", "t": "j + 18", "w": "t + 19", "e": "w + 9", "x": "a + 20", "o": "x + 9", "s": "o + 4", "d": "s + 5", "h": "d + 18", "y": "h + 10", "a": 8}, "premises": {"a": 8}, "target": "e"}, "answer": {"steps": [["w", "t + 19", "t + 28"], ["t", "j + 18", "j + 46"], ["j", "l + 16", "l + 62"], ["l", "f + 3", "f + 65"], ["f", "a + 4", "a + 69"], ["a", 8, "77"]], "target_var_name": "e", "target_value": 77, "value_dict": {"a": 8}, "is_reverse": true}}
| 24,764
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 4; t = j + 18; l = f + 3; y = h + 10; s = o + 4; a = 8; x = a + 20; h = d + 18; d = s + 5; w = t + 19; o = x + 9; j = l + 16; e = w + 9. If a = 8, what is the resulting value of e?",
"role": "user"
}
] |
math
|
{
"ground_truth": 77,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = t + 19 to e, which gives e = t + 28.\n2. Substitute t = j + 18 to e, which gives e = j + 46.\n3. Substitute j = l + 16 to e, which gives e = l + 62.\n4. Substitute l = f + 3 to e, which gives e = f + 65.\n5. Substitute f = a + 4 to e, which gives e = a + 69.\n6. Substitute a = 8 to e, which gives e = 77.\n\nThus, the final answer is e = \\boxed{77}.",
"index": 24764,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: f = a + 4; t = j + 18; l = f + 3; y = h + 10; s = o + 4; a = 8; x = a + 20; h = d + 18; d = s + 5; w = t + 19; o = x + 9; j = l + 16; e = w + 9. If a = 8, what is the resulting value of e?",
"split": "train"
}
|
{"problem": {"rules": {"i": "u + 20", "b": "i + 2", "z": "b + 1", "s": "z + 20", "l": "s + 12", "p": "l + 13", "q": "u + 14", "f": "q + 1", "g": "f + 6", "r": "g + 20", "j": "r + 16", "n": "j + 1", "u": 2}, "premises": {"u": 2}, "target": "p"}, "answer": {"steps": [["l", "s + 12", "s + 25"], ["s", "z + 20", "z + 45"], ["z", "b + 1", "b + 46"], ["b", "i + 2", "i + 48"], ["i", "u + 20", "u + 68"], ["u", 2, "70"]], "target_var_name": "p", "target_value": 70, "value_dict": {"u": 2}, "is_reverse": true}}
| 24,765
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 20; s = z + 20; i = u + 20; n = j + 1; z = b + 1; q = u + 14; u = 2; j = r + 16; b = i + 2; l = s + 12; f = q + 1; p = l + 13; g = f + 6. If u = 2, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute l = s + 12 to p, which gives p = s + 25.\n2. Substitute s = z + 20 to p, which gives p = z + 45.\n3. Substitute z = b + 1 to p, which gives p = b + 46.\n4. Substitute b = i + 2 to p, which gives p = i + 48.\n5. Substitute i = u + 20 to p, which gives p = u + 68.\n6. Substitute u = 2 to p, which gives p = 70.\n\nThus, the final answer is p = \\boxed{70}.",
"index": 24765,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: r = g + 20; s = z + 20; i = u + 20; n = j + 1; z = b + 1; q = u + 14; u = 2; j = r + 16; b = i + 2; l = s + 12; f = q + 1; p = l + 13; g = f + 6. If u = 2, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"f": "a + 8", "s": "f + 14", "b": "s + 18", "h": "b + 1", "c": "h + 7", "g": "c + 15", "i": "a + 12", "w": "i + 9", "j": "w + 2", "z": "j + 12", "o": "z + 8", "l": "o + 2", "a": 16}, "premises": {"a": 16}, "target": "g"}, "answer": {"steps": [["c", "h + 7", "h + 22"], ["h", "b + 1", "b + 23"], ["b", "s + 18", "s + 41"], ["s", "f + 14", "f + 55"], ["f", "a + 8", "a + 63"], ["a", 16, "79"]], "target_var_name": "g", "target_value": 79, "value_dict": {"a": 16}, "is_reverse": true}}
| 24,766
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = h + 7; i = a + 12; g = c + 15; a = 16; s = f + 14; z = j + 12; j = w + 2; l = o + 2; w = i + 9; f = a + 8; h = b + 1; b = s + 18; o = z + 8. If a = 16, determine the value of g.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 7 to g, which gives g = h + 22.\n2. Substitute h = b + 1 to g, which gives g = b + 23.\n3. Substitute b = s + 18 to g, which gives g = s + 41.\n4. Substitute s = f + 14 to g, which gives g = f + 55.\n5. Substitute f = a + 8 to g, which gives g = a + 63.\n6. Substitute a = 16 to g, which gives g = 79.\n\nThus, the final answer is g = \\boxed{79}.",
"index": 24766,
"question": "Consider a system of variables where each variable is defined as follows: c = h + 7; i = a + 12; g = c + 15; a = 16; s = f + 14; z = j + 12; j = w + 2; l = o + 2; w = i + 9; f = a + 8; h = b + 1; b = s + 18; o = z + 8. If a = 16, determine the value of g.",
"split": "train"
}
|
{"problem": {"rules": {"m": "b + 2", "z": "m + 10", "i": "z + 6", "l": "i + 20", "q": "l + 2", "w": "q + 16", "v": "b + 14", "e": "v + 1", "p": "e + 16", "g": "p + 14", "c": "g + 11", "k": "c + 6", "b": 1}, "premises": {"b": 1}, "target": "w"}, "answer": {"steps": [["q", "l + 2", "l + 18"], ["l", "i + 20", "i + 38"], ["i", "z + 6", "z + 44"], ["z", "m + 10", "m + 54"], ["m", "b + 2", "b + 56"], ["b", 1, "57"]], "target_var_name": "w", "target_value": 57, "value_dict": {"b": 1}, "is_reverse": true}}
| 24,767
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: v = b + 14; l = i + 20; z = m + 10; i = z + 6; w = q + 16; b = 1; p = e + 16; g = p + 14; c = g + 11; k = c + 6; m = b + 2; e = v + 1; q = l + 2. Given that b = 1, find the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = l + 2 to w, which gives w = l + 18.\n2. Substitute l = i + 20 to w, which gives w = i + 38.\n3. Substitute i = z + 6 to w, which gives w = z + 44.\n4. Substitute z = m + 10 to w, which gives w = m + 54.\n5. Substitute m = b + 2 to w, which gives w = b + 56.\n6. Substitute b = 1 to w, which gives w = 57.\n\nThus, the final answer is w = \\boxed{57}.",
"index": 24767,
"question": "Suppose a collection of variables is related by the following definitions: v = b + 14; l = i + 20; z = m + 10; i = z + 6; w = q + 16; b = 1; p = e + 16; g = p + 14; c = g + 11; k = c + 6; m = b + 2; e = v + 1; q = l + 2. Given that b = 1, find the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"f": "e + 2", "p": "f + 8", "o": "p + 14", "a": "o + 19", "m": "a + 9", "z": "m + 12", "w": "e + 2", "u": "w + 10", "r": "u + 20", "l": "r + 6", "c": "l + 10", "j": "c + 12", "e": 11}, "premises": {"e": 11}, "target": "z"}, "answer": {"steps": [["m", "a + 9", "a + 21"], ["a", "o + 19", "o + 40"], ["o", "p + 14", "p + 54"], ["p", "f + 8", "f + 62"], ["f", "e + 2", "e + 64"], ["e", 11, "75"]], "target_var_name": "z", "target_value": 75, "value_dict": {"e": 11}, "is_reverse": true}}
| 24,768
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: f = e + 2; u = w + 10; w = e + 2; z = m + 12; a = o + 19; p = f + 8; o = p + 14; l = r + 6; e = 11; c = l + 10; j = c + 12; m = a + 9; r = u + 20. If e = 11, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 75,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = a + 9 to z, which gives z = a + 21.\n2. Substitute a = o + 19 to z, which gives z = o + 40.\n3. Substitute o = p + 14 to z, which gives z = p + 54.\n4. Substitute p = f + 8 to z, which gives z = f + 62.\n5. Substitute f = e + 2 to z, which gives z = e + 64.\n6. Substitute e = 11 to z, which gives z = 75.\n\nThus, the final answer is z = \\boxed{75}.",
"index": 24768,
"question": "Consider a system of variables where each variable is defined as follows: f = e + 2; u = w + 10; w = e + 2; z = m + 12; a = o + 19; p = f + 8; o = p + 14; l = r + 6; e = 11; c = l + 10; j = c + 12; m = a + 9; r = u + 20. If e = 11, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"v": "n + 1", "e": "v + 13", "y": "e + 9", "g": "y + 3", "f": "g + 7", "m": "f + 1", "u": "n + 11", "s": "u + 10", "d": "s + 12", "q": "d + 5", "j": "q + 13", "c": "j + 2", "n": 20}, "premises": {"n": 20}, "target": "m"}, "answer": {"steps": [["f", "g + 7", "g + 8"], ["g", "y + 3", "y + 11"], ["y", "e + 9", "e + 20"], ["e", "v + 13", "v + 33"], ["v", "n + 1", "n + 34"], ["n", 20, "54"]], "target_var_name": "m", "target_value": 54, "value_dict": {"n": 20}, "is_reverse": true}}
| 24,769
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 1; n = 20; g = y + 3; j = q + 13; d = s + 12; e = v + 13; v = n + 1; f = g + 7; y = e + 9; c = j + 2; u = n + 11; s = u + 10; q = d + 5. If n = 20, what is the resulting value of m?",
"role": "user"
}
] |
math
|
{
"ground_truth": 54,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = g + 7 to m, which gives m = g + 8.\n2. Substitute g = y + 3 to m, which gives m = y + 11.\n3. Substitute y = e + 9 to m, which gives m = e + 20.\n4. Substitute e = v + 13 to m, which gives m = v + 33.\n5. Substitute v = n + 1 to m, which gives m = n + 34.\n6. Substitute n = 20 to m, which gives m = 54.\n\nThus, the final answer is m = \\boxed{54}.",
"index": 24769,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = f + 1; n = 20; g = y + 3; j = q + 13; d = s + 12; e = v + 13; v = n + 1; f = g + 7; y = e + 9; c = j + 2; u = n + 11; s = u + 10; q = d + 5. If n = 20, what is the resulting value of m?",
"split": "train"
}
|
{"problem": {"rules": {"o": "k + 18", "g": "o + 12", "n": "g + 12", "c": "n + 15", "h": "c + 20", "p": "h + 13", "a": "k + 7", "b": "a + 5", "r": "b + 4", "m": "r + 17", "e": "m + 17", "q": "e + 8", "k": 3}, "premises": {"k": 3}, "target": "p"}, "answer": {"steps": [["h", "c + 20", "c + 33"], ["c", "n + 15", "n + 48"], ["n", "g + 12", "g + 60"], ["g", "o + 12", "o + 72"], ["o", "k + 18", "k + 90"], ["k", 3, "93"]], "target_var_name": "p", "target_value": 93, "value_dict": {"k": 3}, "is_reverse": true}}
| 24,770
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 15; a = k + 7; h = c + 20; m = r + 17; k = 3; n = g + 12; p = h + 13; o = k + 18; g = o + 12; b = a + 5; r = b + 4; q = e + 8; e = m + 17. If k = 3, what is the resulting value of p?",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = c + 20 to p, which gives p = c + 33.\n2. Substitute c = n + 15 to p, which gives p = n + 48.\n3. Substitute n = g + 12 to p, which gives p = g + 60.\n4. Substitute g = o + 12 to p, which gives p = o + 72.\n5. Substitute o = k + 18 to p, which gives p = k + 90.\n6. Substitute k = 3 to p, which gives p = 93.\n\nThus, the final answer is p = \\boxed{93}.",
"index": 24770,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: c = n + 15; a = k + 7; h = c + 20; m = r + 17; k = 3; n = g + 12; p = h + 13; o = k + 18; g = o + 12; b = a + 5; r = b + 4; q = e + 8; e = m + 17. If k = 3, what is the resulting value of p?",
"split": "train"
}
|
{"problem": {"rules": {"j": "b + 4", "c": "j + 17", "h": "c + 6", "q": "h + 11", "f": "q + 20", "o": "f + 8", "x": "b + 14", "t": "x + 2", "g": "t + 13", "k": "g + 9", "w": "k + 3", "p": "w + 7", "b": 3}, "premises": {"b": 3}, "target": "o"}, "answer": {"steps": [["f", "q + 20", "q + 28"], ["q", "h + 11", "h + 39"], ["h", "c + 6", "c + 45"], ["c", "j + 17", "j + 62"], ["j", "b + 4", "b + 66"], ["b", 3, "69"]], "target_var_name": "o", "target_value": 69, "value_dict": {"b": 3}, "is_reverse": true}}
| 24,771
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = g + 9; j = b + 4; b = 3; t = x + 2; x = b + 14; w = k + 3; f = q + 20; q = h + 11; g = t + 13; h = c + 6; o = f + 8; c = j + 17; p = w + 7. If b = 3, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 69,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = q + 20 to o, which gives o = q + 28.\n2. Substitute q = h + 11 to o, which gives o = h + 39.\n3. Substitute h = c + 6 to o, which gives o = c + 45.\n4. Substitute c = j + 17 to o, which gives o = j + 62.\n5. Substitute j = b + 4 to o, which gives o = b + 66.\n6. Substitute b = 3 to o, which gives o = 69.\n\nThus, the final answer is o = \\boxed{69}.",
"index": 24771,
"question": "Consider a system of variables where each variable is defined as follows: k = g + 9; j = b + 4; b = 3; t = x + 2; x = b + 14; w = k + 3; f = q + 20; q = h + 11; g = t + 13; h = c + 6; o = f + 8; c = j + 17; p = w + 7. If b = 3, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"e": "l + 1", "u": "e + 10", "p": "u + 7", "c": "p + 2", "z": "c + 2", "a": "z + 11", "y": "l + 15", "f": "y + 15", "j": "f + 9", "t": "j + 3", "d": "t + 1", "h": "d + 9", "l": 15}, "premises": {"l": 15}, "target": "a"}, "answer": {"steps": [["z", "c + 2", "c + 13"], ["c", "p + 2", "p + 15"], ["p", "u + 7", "u + 22"], ["u", "e + 10", "e + 32"], ["e", "l + 1", "l + 33"], ["l", 15, "48"]], "target_var_name": "a", "target_value": 48, "value_dict": {"l": 15}, "is_reverse": true}}
| 24,772
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: l = 15; a = z + 11; f = y + 15; t = j + 3; c = p + 2; z = c + 2; p = u + 7; y = l + 15; h = d + 9; e = l + 1; u = e + 10; d = t + 1; j = f + 9. If l = 15, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 48,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute z = c + 2 to a, which gives a = c + 13.\n2. Substitute c = p + 2 to a, which gives a = p + 15.\n3. Substitute p = u + 7 to a, which gives a = u + 22.\n4. Substitute u = e + 10 to a, which gives a = e + 32.\n5. Substitute e = l + 1 to a, which gives a = l + 33.\n6. Substitute l = 15 to a, which gives a = 48.\n\nThus, the final answer is a = \\boxed{48}.",
"index": 24772,
"question": "Consider a system of variables where each variable is defined as follows: l = 15; a = z + 11; f = y + 15; t = j + 3; c = p + 2; z = c + 2; p = u + 7; y = l + 15; h = d + 9; e = l + 1; u = e + 10; d = t + 1; j = f + 9. If l = 15, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"z": "a + 12", "w": "z + 15", "s": "w + 6", "h": "s + 9", "c": "h + 19", "k": "c + 15", "l": "a + 19", "b": "l + 9", "d": "b + 19", "p": "d + 3", "t": "p + 13", "q": "t + 20", "a": 17}, "premises": {"a": 17}, "target": "k"}, "answer": {"steps": [["c", "h + 19", "h + 34"], ["h", "s + 9", "s + 43"], ["s", "w + 6", "w + 49"], ["w", "z + 15", "z + 64"], ["z", "a + 12", "a + 76"], ["a", 17, "93"]], "target_var_name": "k", "target_value": 93, "value_dict": {"a": 17}, "is_reverse": true}}
| 24,773
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: t = p + 13; w = z + 15; p = d + 3; q = t + 20; s = w + 6; b = l + 9; l = a + 19; h = s + 9; k = c + 15; z = a + 12; a = 17; c = h + 19; d = b + 19. Given that a = 17, find the value of k.",
"role": "user"
}
] |
math
|
{
"ground_truth": 93,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = h + 19 to k, which gives k = h + 34.\n2. Substitute h = s + 9 to k, which gives k = s + 43.\n3. Substitute s = w + 6 to k, which gives k = w + 49.\n4. Substitute w = z + 15 to k, which gives k = z + 64.\n5. Substitute z = a + 12 to k, which gives k = a + 76.\n6. Substitute a = 17 to k, which gives k = 93.\n\nThus, the final answer is k = \\boxed{93}.",
"index": 24773,
"question": "Suppose a collection of variables is related by the following definitions: t = p + 13; w = z + 15; p = d + 3; q = t + 20; s = w + 6; b = l + 9; l = a + 19; h = s + 9; k = c + 15; z = a + 12; a = 17; c = h + 19; d = b + 19. Given that a = 17, find the value of k.",
"split": "train"
}
|
{"problem": {"rules": {"j": "q + 7", "i": "j + 16", "s": "i + 10", "z": "s + 18", "n": "z + 19", "a": "n + 3", "f": "q + 20", "t": "f + 10", "w": "t + 14", "o": "w + 19", "b": "o + 7", "x": "b + 14", "q": 1}, "premises": {"q": 1}, "target": "a"}, "answer": {"steps": [["n", "z + 19", "z + 22"], ["z", "s + 18", "s + 40"], ["s", "i + 10", "i + 50"], ["i", "j + 16", "j + 66"], ["j", "q + 7", "q + 73"], ["q", 1, "74"]], "target_var_name": "a", "target_value": 74, "value_dict": {"q": 1}, "is_reverse": true}}
| 24,774
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = w + 19; i = j + 16; q = 1; s = i + 10; x = b + 14; j = q + 7; a = n + 3; b = o + 7; z = s + 18; f = q + 20; t = f + 10; n = z + 19; w = t + 14. If q = 1, determine the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 74,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute n = z + 19 to a, which gives a = z + 22.\n2. Substitute z = s + 18 to a, which gives a = s + 40.\n3. Substitute s = i + 10 to a, which gives a = i + 50.\n4. Substitute i = j + 16 to a, which gives a = j + 66.\n5. Substitute j = q + 7 to a, which gives a = q + 73.\n6. Substitute q = 1 to a, which gives a = 74.\n\nThus, the final answer is a = \\boxed{74}.",
"index": 24774,
"question": "Consider a system of variables where each variable is defined as follows: o = w + 19; i = j + 16; q = 1; s = i + 10; x = b + 14; j = q + 7; a = n + 3; b = o + 7; z = s + 18; f = q + 20; t = f + 10; n = z + 19; w = t + 14. If q = 1, determine the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"p": "d + 10", "l": "p + 14", "u": "l + 7", "t": "u + 11", "f": "t + 1", "k": "f + 12", "z": "d + 10", "b": "z + 6", "v": "b + 16", "q": "v + 11", "g": "q + 13", "i": "g + 6", "d": 18}, "premises": {"d": 18}, "target": "k"}, "answer": {"steps": [["f", "t + 1", "t + 13"], ["t", "u + 11", "u + 24"], ["u", "l + 7", "l + 31"], ["l", "p + 14", "p + 45"], ["p", "d + 10", "d + 55"], ["d", 18, "73"]], "target_var_name": "k", "target_value": 73, "value_dict": {"d": 18}, "is_reverse": true}}
| 24,775
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: d = 18; q = v + 11; f = t + 1; p = d + 10; k = f + 12; g = q + 13; u = l + 7; l = p + 14; z = d + 10; v = b + 16; t = u + 11; i = g + 6; b = z + 6. If d = 18, what is the resulting value of k?",
"role": "user"
}
] |
math
|
{
"ground_truth": 73,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute f = t + 1 to k, which gives k = t + 13.\n2. Substitute t = u + 11 to k, which gives k = u + 24.\n3. Substitute u = l + 7 to k, which gives k = l + 31.\n4. Substitute l = p + 14 to k, which gives k = p + 45.\n5. Substitute p = d + 10 to k, which gives k = d + 55.\n6. Substitute d = 18 to k, which gives k = 73.\n\nThus, the final answer is k = \\boxed{73}.",
"index": 24775,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: d = 18; q = v + 11; f = t + 1; p = d + 10; k = f + 12; g = q + 13; u = l + 7; l = p + 14; z = d + 10; v = b + 16; t = u + 11; i = g + 6; b = z + 6. If d = 18, what is the resulting value of k?",
"split": "train"
}
|
{"problem": {"rules": {"o": "w + 5", "v": "o + 1", "k": "v + 8", "x": "k + 9", "j": "x + 11", "t": "j + 6", "q": "w + 5", "i": "q + 15", "y": "i + 13", "c": "y + 12", "n": "c + 3", "g": "n + 6", "w": 15}, "premises": {"w": 15}, "target": "t"}, "answer": {"steps": [["j", "x + 11", "x + 17"], ["x", "k + 9", "k + 26"], ["k", "v + 8", "v + 34"], ["v", "o + 1", "o + 35"], ["o", "w + 5", "w + 40"], ["w", 15, "55"]], "target_var_name": "t", "target_value": 55, "value_dict": {"w": 15}, "is_reverse": true}}
| 24,776
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 5; n = c + 3; i = q + 15; t = j + 6; k = v + 8; x = k + 9; g = n + 6; v = o + 1; c = y + 12; q = w + 5; y = i + 13; j = x + 11; w = 15. If w = 15, what is the resulting value of t?",
"role": "user"
}
] |
math
|
{
"ground_truth": 55,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute j = x + 11 to t, which gives t = x + 17.\n2. Substitute x = k + 9 to t, which gives t = k + 26.\n3. Substitute k = v + 8 to t, which gives t = v + 34.\n4. Substitute v = o + 1 to t, which gives t = o + 35.\n5. Substitute o = w + 5 to t, which gives t = w + 40.\n6. Substitute w = 15 to t, which gives t = 55.\n\nThus, the final answer is t = \\boxed{55}.",
"index": 24776,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: o = w + 5; n = c + 3; i = q + 15; t = j + 6; k = v + 8; x = k + 9; g = n + 6; v = o + 1; c = y + 12; q = w + 5; y = i + 13; j = x + 11; w = 15. If w = 15, what is the resulting value of t?",
"split": "train"
}
|
{"problem": {"rules": {"z": "o + 5", "w": "z + 20", "c": "w + 12", "f": "c + 14", "b": "f + 15", "i": "b + 15", "y": "o + 3", "r": "y + 11", "h": "r + 4", "d": "h + 2", "x": "d + 1", "g": "x + 9", "o": 14}, "premises": {"o": 14}, "target": "i"}, "answer": {"steps": [["b", "f + 15", "f + 30"], ["f", "c + 14", "c + 44"], ["c", "w + 12", "w + 56"], ["w", "z + 20", "z + 76"], ["z", "o + 5", "o + 81"], ["o", 14, "95"]], "target_var_name": "i", "target_value": 95, "value_dict": {"o": 14}, "is_reverse": true}}
| 24,777
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 20; b = f + 15; f = c + 14; y = o + 3; c = w + 12; x = d + 1; i = b + 15; g = x + 9; z = o + 5; h = r + 4; r = y + 11; d = h + 2; o = 14. If o = 14, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 95,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = f + 15 to i, which gives i = f + 30.\n2. Substitute f = c + 14 to i, which gives i = c + 44.\n3. Substitute c = w + 12 to i, which gives i = w + 56.\n4. Substitute w = z + 20 to i, which gives i = z + 76.\n5. Substitute z = o + 5 to i, which gives i = o + 81.\n6. Substitute o = 14 to i, which gives i = 95.\n\nThus, the final answer is i = \\boxed{95}.",
"index": 24777,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: w = z + 20; b = f + 15; f = c + 14; y = o + 3; c = w + 12; x = d + 1; i = b + 15; g = x + 9; z = o + 5; h = r + 4; r = y + 11; d = h + 2; o = 14. If o = 14, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"x": "z + 15", "r": "x + 3", "c": "r + 2", "n": "c + 9", "m": "n + 10", "o": "m + 16", "b": "z + 5", "g": "b + 11", "v": "g + 8", "l": "v + 1", "t": "l + 7", "k": "t + 11", "z": 10}, "premises": {"z": 10}, "target": "o"}, "answer": {"steps": [["m", "n + 10", "n + 26"], ["n", "c + 9", "c + 35"], ["c", "r + 2", "r + 37"], ["r", "x + 3", "x + 40"], ["x", "z + 15", "z + 55"], ["z", 10, "65"]], "target_var_name": "o", "target_value": 65, "value_dict": {"z": 10}, "is_reverse": true}}
| 24,778
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: o = m + 16; c = r + 2; g = b + 11; n = c + 9; r = x + 3; m = n + 10; l = v + 1; k = t + 11; z = 10; v = g + 8; t = l + 7; x = z + 15; b = z + 5. If z = 10, determine the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = n + 10 to o, which gives o = n + 26.\n2. Substitute n = c + 9 to o, which gives o = c + 35.\n3. Substitute c = r + 2 to o, which gives o = r + 37.\n4. Substitute r = x + 3 to o, which gives o = x + 40.\n5. Substitute x = z + 15 to o, which gives o = z + 55.\n6. Substitute z = 10 to o, which gives o = 65.\n\nThus, the final answer is o = \\boxed{65}.",
"index": 24778,
"question": "Consider a system of variables where each variable is defined as follows: o = m + 16; c = r + 2; g = b + 11; n = c + 9; r = x + 3; m = n + 10; l = v + 1; k = t + 11; z = 10; v = g + 8; t = l + 7; x = z + 15; b = z + 5. If z = 10, determine the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"j": "u + 14", "k": "j + 2", "g": "k + 17", "d": "g + 15", "v": "d + 11", "m": "v + 11", "c": "u + 17", "s": "c + 3", "i": "s + 11", "w": "i + 12", "q": "w + 15", "z": "q + 19", "u": 17}, "premises": {"u": 17}, "target": "m"}, "answer": {"steps": [["v", "d + 11", "d + 22"], ["d", "g + 15", "g + 37"], ["g", "k + 17", "k + 54"], ["k", "j + 2", "j + 56"], ["j", "u + 14", "u + 70"], ["u", 17, "87"]], "target_var_name": "m", "target_value": 87, "value_dict": {"u": 17}, "is_reverse": true}}
| 24,779
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = j + 2; j = u + 14; z = q + 19; i = s + 11; s = c + 3; g = k + 17; m = v + 11; c = u + 17; v = d + 11; w = i + 12; q = w + 15; u = 17; d = g + 15. If u = 17, determine the value of m.",
"role": "user"
}
] |
math
|
{
"ground_truth": 87,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = d + 11 to m, which gives m = d + 22.\n2. Substitute d = g + 15 to m, which gives m = g + 37.\n3. Substitute g = k + 17 to m, which gives m = k + 54.\n4. Substitute k = j + 2 to m, which gives m = j + 56.\n5. Substitute j = u + 14 to m, which gives m = u + 70.\n6. Substitute u = 17 to m, which gives m = 87.\n\nThus, the final answer is m = \\boxed{87}.",
"index": 24779,
"question": "Consider a system of variables where each variable is defined as follows: k = j + 2; j = u + 14; z = q + 19; i = s + 11; s = c + 3; g = k + 17; m = v + 11; c = u + 17; v = d + 11; w = i + 12; q = w + 15; u = 17; d = g + 15. If u = 17, determine the value of m.",
"split": "train"
}
|
{"problem": {"rules": {"c": "m + 5", "n": "c + 11", "r": "n + 1", "l": "r + 11", "v": "l + 19", "w": "v + 15", "x": "m + 20", "o": "x + 17", "h": "o + 3", "q": "h + 15", "u": "q + 15", "f": "u + 16", "m": 19}, "premises": {"m": 19}, "target": "w"}, "answer": {"steps": [["v", "l + 19", "l + 34"], ["l", "r + 11", "r + 45"], ["r", "n + 1", "n + 46"], ["n", "c + 11", "c + 57"], ["c", "m + 5", "m + 62"], ["m", 19, "81"]], "target_var_name": "w", "target_value": 81, "value_dict": {"m": 19}, "is_reverse": true}}
| 24,780
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = o + 3; v = l + 19; m = 19; x = m + 20; r = n + 1; w = v + 15; l = r + 11; u = q + 15; n = c + 11; c = m + 5; q = h + 15; o = x + 17; f = u + 16. If m = 19, determine the value of w.",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute v = l + 19 to w, which gives w = l + 34.\n2. Substitute l = r + 11 to w, which gives w = r + 45.\n3. Substitute r = n + 1 to w, which gives w = n + 46.\n4. Substitute n = c + 11 to w, which gives w = c + 57.\n5. Substitute c = m + 5 to w, which gives w = m + 62.\n6. Substitute m = 19 to w, which gives w = 81.\n\nThus, the final answer is w = \\boxed{81}.",
"index": 24780,
"question": "Consider a system of variables where each variable is defined as follows: h = o + 3; v = l + 19; m = 19; x = m + 20; r = n + 1; w = v + 15; l = r + 11; u = q + 15; n = c + 11; c = m + 5; q = h + 15; o = x + 17; f = u + 16. If m = 19, determine the value of w.",
"split": "train"
}
|
{"problem": {"rules": {"g": "h + 18", "y": "g + 3", "o": "y + 15", "i": "o + 12", "d": "i + 10", "f": "d + 1", "t": "h + 1", "c": "t + 11", "v": "c + 8", "u": "v + 4", "j": "u + 19", "p": "j + 13", "h": 9}, "premises": {"h": 9}, "target": "f"}, "answer": {"steps": [["d", "i + 10", "i + 11"], ["i", "o + 12", "o + 23"], ["o", "y + 15", "y + 38"], ["y", "g + 3", "g + 41"], ["g", "h + 18", "h + 59"], ["h", 9, "68"]], "target_var_name": "f", "target_value": 68, "value_dict": {"h": 9}, "is_reverse": true}}
| 24,781
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 18; d = i + 10; f = d + 1; v = c + 8; h = 9; y = g + 3; u = v + 4; o = y + 15; c = t + 11; i = o + 12; j = u + 19; p = j + 13; t = h + 1. If h = 9, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 68,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute d = i + 10 to f, which gives f = i + 11.\n2. Substitute i = o + 12 to f, which gives f = o + 23.\n3. Substitute o = y + 15 to f, which gives f = y + 38.\n4. Substitute y = g + 3 to f, which gives f = g + 41.\n5. Substitute g = h + 18 to f, which gives f = h + 59.\n6. Substitute h = 9 to f, which gives f = 68.\n\nThus, the final answer is f = \\boxed{68}.",
"index": 24781,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: g = h + 18; d = i + 10; f = d + 1; v = c + 8; h = 9; y = g + 3; u = v + 4; o = y + 15; c = t + 11; i = o + 12; j = u + 19; p = j + 13; t = h + 1. If h = 9, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 1", "f": "n + 6", "t": "f + 12", "s": "t + 5", "y": "s + 9", "l": "y + 15", "h": "k + 19", "b": "h + 11", "o": "b + 9", "z": "o + 12", "d": "z + 15", "j": "d + 2", "k": 19}, "premises": {"k": 19}, "target": "l"}, "answer": {"steps": [["y", "s + 9", "s + 24"], ["s", "t + 5", "t + 29"], ["t", "f + 12", "f + 41"], ["f", "n + 6", "n + 47"], ["n", "k + 1", "k + 48"], ["k", 19, "67"]], "target_var_name": "l", "target_value": 67, "value_dict": {"k": 19}, "is_reverse": true}}
| 24,782
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = k + 1; b = h + 11; j = d + 2; h = k + 19; o = b + 9; f = n + 6; d = z + 15; l = y + 15; y = s + 9; t = f + 12; s = t + 5; k = 19; z = o + 12. Given that k = 19, find the value of l.",
"role": "user"
}
] |
math
|
{
"ground_truth": 67,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = s + 9 to l, which gives l = s + 24.\n2. Substitute s = t + 5 to l, which gives l = t + 29.\n3. Substitute t = f + 12 to l, which gives l = f + 41.\n4. Substitute f = n + 6 to l, which gives l = n + 47.\n5. Substitute n = k + 1 to l, which gives l = k + 48.\n6. Substitute k = 19 to l, which gives l = 67.\n\nThus, the final answer is l = \\boxed{67}.",
"index": 24782,
"question": "Suppose a collection of variables is related by the following definitions: n = k + 1; b = h + 11; j = d + 2; h = k + 19; o = b + 9; f = n + 6; d = z + 15; l = y + 15; y = s + 9; t = f + 12; s = t + 5; k = 19; z = o + 12. Given that k = 19, find the value of l.",
"split": "train"
}
|
{"problem": {"rules": {"p": "i + 2", "x": "p + 14", "u": "x + 19", "b": "u + 14", "e": "b + 18", "z": "e + 9", "y": "i + 7", "c": "y + 8", "t": "c + 4", "h": "t + 10", "w": "h + 20", "j": "w + 17", "i": 13}, "premises": {"i": 13}, "target": "z"}, "answer": {"steps": [["e", "b + 18", "b + 27"], ["b", "u + 14", "u + 41"], ["u", "x + 19", "x + 60"], ["x", "p + 14", "p + 74"], ["p", "i + 2", "i + 76"], ["i", 13, "89"]], "target_var_name": "z", "target_value": 89, "value_dict": {"i": 13}, "is_reverse": true}}
| 24,783
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = e + 9; j = w + 17; w = h + 20; t = c + 4; i = 13; p = i + 2; b = u + 14; x = p + 14; e = b + 18; y = i + 7; h = t + 10; u = x + 19; c = y + 8. If i = 13, what is the resulting value of z?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute e = b + 18 to z, which gives z = b + 27.\n2. Substitute b = u + 14 to z, which gives z = u + 41.\n3. Substitute u = x + 19 to z, which gives z = x + 60.\n4. Substitute x = p + 14 to z, which gives z = p + 74.\n5. Substitute p = i + 2 to z, which gives z = i + 76.\n6. Substitute i = 13 to z, which gives z = 89.\n\nThus, the final answer is z = \\boxed{89}.",
"index": 24783,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = e + 9; j = w + 17; w = h + 20; t = c + 4; i = 13; p = i + 2; b = u + 14; x = p + 14; e = b + 18; y = i + 7; h = t + 10; u = x + 19; c = y + 8. If i = 13, what is the resulting value of z?",
"split": "train"
}
|
{"problem": {"rules": {"h": "l + 4", "j": "h + 9", "b": "j + 20", "r": "b + 8", "m": "r + 14", "p": "m + 19", "o": "l + 19", "u": "o + 1", "k": "u + 12", "y": "k + 5", "c": "y + 13", "a": "c + 14", "l": 9}, "premises": {"l": 9}, "target": "p"}, "answer": {"steps": [["m", "r + 14", "r + 33"], ["r", "b + 8", "b + 41"], ["b", "j + 20", "j + 61"], ["j", "h + 9", "h + 70"], ["h", "l + 4", "l + 74"], ["l", 9, "83"]], "target_var_name": "p", "target_value": 83, "value_dict": {"l": 9}, "is_reverse": true}}
| 24,784
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: h = l + 4; r = b + 8; k = u + 12; b = j + 20; l = 9; m = r + 14; u = o + 1; o = l + 19; j = h + 9; p = m + 19; a = c + 14; c = y + 13; y = k + 5. Given that l = 9, find the value of p.",
"role": "user"
}
] |
math
|
{
"ground_truth": 83,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute m = r + 14 to p, which gives p = r + 33.\n2. Substitute r = b + 8 to p, which gives p = b + 41.\n3. Substitute b = j + 20 to p, which gives p = j + 61.\n4. Substitute j = h + 9 to p, which gives p = h + 70.\n5. Substitute h = l + 4 to p, which gives p = l + 74.\n6. Substitute l = 9 to p, which gives p = 83.\n\nThus, the final answer is p = \\boxed{83}.",
"index": 24784,
"question": "Suppose a collection of variables is related by the following definitions: h = l + 4; r = b + 8; k = u + 12; b = j + 20; l = 9; m = r + 14; u = o + 1; o = l + 19; j = h + 9; p = m + 19; a = c + 14; c = y + 13; y = k + 5. Given that l = 9, find the value of p.",
"split": "train"
}
|
{"problem": {"rules": {"t": "e + 7", "j": "t + 13", "i": "j + 20", "c": "i + 13", "r": "c + 14", "d": "r + 10", "g": "e + 18", "m": "g + 11", "b": "m + 7", "z": "b + 12", "h": "z + 18", "o": "h + 19", "e": 12}, "premises": {"e": 12}, "target": "d"}, "answer": {"steps": [["r", "c + 14", "c + 24"], ["c", "i + 13", "i + 37"], ["i", "j + 20", "j + 57"], ["j", "t + 13", "t + 70"], ["t", "e + 7", "e + 77"], ["e", 12, "89"]], "target_var_name": "d", "target_value": 89, "value_dict": {"e": 12}, "is_reverse": true}}
| 24,785
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 12; o = h + 19; b = m + 7; j = t + 13; d = r + 10; g = e + 18; m = g + 11; t = e + 7; e = 12; c = i + 13; h = z + 18; i = j + 20; r = c + 14. If e = 12, what is the resulting value of d?",
"role": "user"
}
] |
math
|
{
"ground_truth": 89,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute r = c + 14 to d, which gives d = c + 24.\n2. Substitute c = i + 13 to d, which gives d = i + 37.\n3. Substitute i = j + 20 to d, which gives d = j + 57.\n4. Substitute j = t + 13 to d, which gives d = t + 70.\n5. Substitute t = e + 7 to d, which gives d = e + 77.\n6. Substitute e = 12 to d, which gives d = 89.\n\nThus, the final answer is d = \\boxed{89}.",
"index": 24785,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: z = b + 12; o = h + 19; b = m + 7; j = t + 13; d = r + 10; g = e + 18; m = g + 11; t = e + 7; e = 12; c = i + 13; h = z + 18; i = j + 20; r = c + 14. If e = 12, what is the resulting value of d?",
"split": "train"
}
|
{"problem": {"rules": {"g": "e + 3", "k": "g + 6", "x": "k + 6", "d": "x + 8", "h": "d + 7", "s": "h + 10", "f": "e + 13", "l": "f + 19", "t": "l + 6", "z": "t + 7", "u": "z + 4", "c": "u + 5", "e": 20}, "premises": {"e": 20}, "target": "s"}, "answer": {"steps": [["h", "d + 7", "d + 17"], ["d", "x + 8", "x + 25"], ["x", "k + 6", "k + 31"], ["k", "g + 6", "g + 37"], ["g", "e + 3", "e + 40"], ["e", 20, "60"]], "target_var_name": "s", "target_value": 60, "value_dict": {"e": 20}, "is_reverse": true}}
| 24,786
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: h = d + 7; u = z + 4; z = t + 7; k = g + 6; e = 20; c = u + 5; l = f + 19; d = x + 8; t = l + 6; s = h + 10; g = e + 3; f = e + 13; x = k + 6. If e = 20, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 60,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = d + 7 to s, which gives s = d + 17.\n2. Substitute d = x + 8 to s, which gives s = x + 25.\n3. Substitute x = k + 6 to s, which gives s = k + 31.\n4. Substitute k = g + 6 to s, which gives s = g + 37.\n5. Substitute g = e + 3 to s, which gives s = e + 40.\n6. Substitute e = 20 to s, which gives s = 60.\n\nThus, the final answer is s = \\boxed{60}.",
"index": 24786,
"question": "Consider a system of variables where each variable is defined as follows: h = d + 7; u = z + 4; z = t + 7; k = g + 6; e = 20; c = u + 5; l = f + 19; d = x + 8; t = l + 6; s = h + 10; g = e + 3; f = e + 13; x = k + 6. If e = 20, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"l": "y + 16", "i": "l + 6", "o": "i + 17", "g": "o + 15", "w": "g + 4", "a": "w + 6", "d": "y + 12", "j": "d + 16", "s": "j + 17", "z": "s + 16", "f": "z + 16", "x": "f + 1", "y": 15}, "premises": {"y": 15}, "target": "a"}, "answer": {"steps": [["w", "g + 4", "g + 10"], ["g", "o + 15", "o + 25"], ["o", "i + 17", "i + 42"], ["i", "l + 6", "l + 48"], ["l", "y + 16", "y + 64"], ["y", 15, "79"]], "target_var_name": "a", "target_value": 79, "value_dict": {"y": 15}, "is_reverse": true}}
| 24,787
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: w = g + 4; d = y + 12; a = w + 6; i = l + 6; f = z + 16; z = s + 16; j = d + 16; s = j + 17; o = i + 17; g = o + 15; y = 15; l = y + 16; x = f + 1. Given that y = 15, find the value of a.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = g + 4 to a, which gives a = g + 10.\n2. Substitute g = o + 15 to a, which gives a = o + 25.\n3. Substitute o = i + 17 to a, which gives a = i + 42.\n4. Substitute i = l + 6 to a, which gives a = l + 48.\n5. Substitute l = y + 16 to a, which gives a = y + 64.\n6. Substitute y = 15 to a, which gives a = 79.\n\nThus, the final answer is a = \\boxed{79}.",
"index": 24787,
"question": "Suppose a collection of variables is related by the following definitions: w = g + 4; d = y + 12; a = w + 6; i = l + 6; f = z + 16; z = s + 16; j = d + 16; s = j + 17; o = i + 17; g = o + 15; y = 15; l = y + 16; x = f + 1. Given that y = 15, find the value of a.",
"split": "train"
}
|
{"problem": {"rules": {"a": "y + 7", "l": "a + 11", "h": "l + 16", "p": "h + 19", "b": "p + 11", "z": "b + 18", "t": "y + 15", "n": "t + 3", "j": "n + 1", "i": "j + 19", "k": "i + 9", "s": "k + 16", "y": 17}, "premises": {"y": 17}, "target": "z"}, "answer": {"steps": [["b", "p + 11", "p + 29"], ["p", "h + 19", "h + 48"], ["h", "l + 16", "l + 64"], ["l", "a + 11", "a + 75"], ["a", "y + 7", "y + 82"], ["y", 17, "99"]], "target_var_name": "z", "target_value": 99, "value_dict": {"y": 17}, "is_reverse": true}}
| 24,788
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: i = j + 19; y = 17; b = p + 11; s = k + 16; a = y + 7; j = n + 1; l = a + 11; n = t + 3; z = b + 18; k = i + 9; h = l + 16; p = h + 19; t = y + 15. If y = 17, determine the value of z.",
"role": "user"
}
] |
math
|
{
"ground_truth": 99,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute b = p + 11 to z, which gives z = p + 29.\n2. Substitute p = h + 19 to z, which gives z = h + 48.\n3. Substitute h = l + 16 to z, which gives z = l + 64.\n4. Substitute l = a + 11 to z, which gives z = a + 75.\n5. Substitute a = y + 7 to z, which gives z = y + 82.\n6. Substitute y = 17 to z, which gives z = 99.\n\nThus, the final answer is z = \\boxed{99}.",
"index": 24788,
"question": "Consider a system of variables where each variable is defined as follows: i = j + 19; y = 17; b = p + 11; s = k + 16; a = y + 7; j = n + 1; l = a + 11; n = t + 3; z = b + 18; k = i + 9; h = l + 16; p = h + 19; t = y + 15. If y = 17, determine the value of z.",
"split": "train"
}
|
{"problem": {"rules": {"o": "x + 15", "g": "o + 9", "i": "g + 17", "t": "i + 18", "q": "t + 19", "b": "q + 6", "f": "x + 2", "c": "f + 16", "y": "c + 14", "e": "y + 1", "r": "e + 14", "z": "r + 16", "x": 12}, "premises": {"x": 12}, "target": "b"}, "answer": {"steps": [["q", "t + 19", "t + 25"], ["t", "i + 18", "i + 43"], ["i", "g + 17", "g + 60"], ["g", "o + 9", "o + 69"], ["o", "x + 15", "x + 84"], ["x", 12, "96"]], "target_var_name": "b", "target_value": 96, "value_dict": {"x": 12}, "is_reverse": true}}
| 24,789
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: c = f + 16; y = c + 14; z = r + 16; o = x + 15; r = e + 14; e = y + 1; b = q + 6; f = x + 2; g = o + 9; i = g + 17; q = t + 19; x = 12; t = i + 18. If x = 12, determine the value of b.",
"role": "user"
}
] |
math
|
{
"ground_truth": 96,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute q = t + 19 to b, which gives b = t + 25.\n2. Substitute t = i + 18 to b, which gives b = i + 43.\n3. Substitute i = g + 17 to b, which gives b = g + 60.\n4. Substitute g = o + 9 to b, which gives b = o + 69.\n5. Substitute o = x + 15 to b, which gives b = x + 84.\n6. Substitute x = 12 to b, which gives b = 96.\n\nThus, the final answer is b = \\boxed{96}.",
"index": 24789,
"question": "Consider a system of variables where each variable is defined as follows: c = f + 16; y = c + 14; z = r + 16; o = x + 15; r = e + 14; e = y + 1; b = q + 6; f = x + 2; g = o + 9; i = g + 17; q = t + 19; x = 12; t = i + 18. If x = 12, determine the value of b.",
"split": "train"
}
|
{"problem": {"rules": {"n": "k + 9", "z": "n + 3", "t": "z + 6", "c": "t + 3", "w": "c + 16", "x": "w + 15", "v": "k + 6", "p": "v + 17", "f": "p + 3", "r": "f + 7", "e": "r + 14", "d": "e + 1", "k": 5}, "premises": {"k": 5}, "target": "x"}, "answer": {"steps": [["w", "c + 16", "c + 31"], ["c", "t + 3", "t + 34"], ["t", "z + 6", "z + 40"], ["z", "n + 3", "n + 43"], ["n", "k + 9", "k + 52"], ["k", 5, "57"]], "target_var_name": "x", "target_value": 57, "value_dict": {"k": 5}, "is_reverse": true}}
| 24,790
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: k = 5; c = t + 3; v = k + 6; t = z + 6; x = w + 15; p = v + 17; f = p + 3; n = k + 9; e = r + 14; z = n + 3; d = e + 1; w = c + 16; r = f + 7. If k = 5, determine the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 57,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute w = c + 16 to x, which gives x = c + 31.\n2. Substitute c = t + 3 to x, which gives x = t + 34.\n3. Substitute t = z + 6 to x, which gives x = z + 40.\n4. Substitute z = n + 3 to x, which gives x = n + 43.\n5. Substitute n = k + 9 to x, which gives x = k + 52.\n6. Substitute k = 5 to x, which gives x = 57.\n\nThus, the final answer is x = \\boxed{57}.",
"index": 24790,
"question": "Consider a system of variables where each variable is defined as follows: k = 5; c = t + 3; v = k + 6; t = z + 6; x = w + 15; p = v + 17; f = p + 3; n = k + 9; e = r + 14; z = n + 3; d = e + 1; w = c + 16; r = f + 7. If k = 5, determine the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"r": "e + 11", "b": "r + 19", "p": "b + 20", "n": "p + 6", "h": "n + 15", "i": "h + 16", "o": "e + 17", "y": "o + 3", "f": "y + 11", "q": "f + 13", "z": "q + 13", "s": "z + 7", "e": 5}, "premises": {"e": 5}, "target": "i"}, "answer": {"steps": [["h", "n + 15", "n + 31"], ["n", "p + 6", "p + 37"], ["p", "b + 20", "b + 57"], ["b", "r + 19", "r + 76"], ["r", "e + 11", "e + 87"], ["e", 5, "92"]], "target_var_name": "i", "target_value": 92, "value_dict": {"e": 5}, "is_reverse": true}}
| 24,791
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: e = 5; i = h + 16; f = y + 11; n = p + 6; r = e + 11; s = z + 7; p = b + 20; h = n + 15; o = e + 17; q = f + 13; b = r + 19; y = o + 3; z = q + 13. If e = 5, what is the resulting value of i?",
"role": "user"
}
] |
math
|
{
"ground_truth": 92,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = n + 15 to i, which gives i = n + 31.\n2. Substitute n = p + 6 to i, which gives i = p + 37.\n3. Substitute p = b + 20 to i, which gives i = b + 57.\n4. Substitute b = r + 19 to i, which gives i = r + 76.\n5. Substitute r = e + 11 to i, which gives i = e + 87.\n6. Substitute e = 5 to i, which gives i = 92.\n\nThus, the final answer is i = \\boxed{92}.",
"index": 24791,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: e = 5; i = h + 16; f = y + 11; n = p + 6; r = e + 11; s = z + 7; p = b + 20; h = n + 15; o = e + 17; q = f + 13; b = r + 19; y = o + 3; z = q + 13. If e = 5, what is the resulting value of i?",
"split": "train"
}
|
{"problem": {"rules": {"w": "d + 18", "o": "w + 16", "z": "o + 15", "u": "z + 5", "y": "u + 2", "x": "y + 13", "e": "d + 18", "j": "e + 6", "r": "j + 12", "h": "r + 15", "s": "h + 9", "k": "s + 12", "d": 10}, "premises": {"d": 10}, "target": "x"}, "answer": {"steps": [["y", "u + 2", "u + 15"], ["u", "z + 5", "z + 20"], ["z", "o + 15", "o + 35"], ["o", "w + 16", "w + 51"], ["w", "d + 18", "d + 69"], ["d", 10, "79"]], "target_var_name": "x", "target_value": 79, "value_dict": {"d": 10}, "is_reverse": true}}
| 24,792
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: j = e + 6; w = d + 18; r = j + 12; k = s + 12; z = o + 15; o = w + 16; y = u + 2; e = d + 18; u = z + 5; x = y + 13; h = r + 15; s = h + 9; d = 10. Given that d = 10, find the value of x.",
"role": "user"
}
] |
math
|
{
"ground_truth": 79,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = u + 2 to x, which gives x = u + 15.\n2. Substitute u = z + 5 to x, which gives x = z + 20.\n3. Substitute z = o + 15 to x, which gives x = o + 35.\n4. Substitute o = w + 16 to x, which gives x = w + 51.\n5. Substitute w = d + 18 to x, which gives x = d + 69.\n6. Substitute d = 10 to x, which gives x = 79.\n\nThus, the final answer is x = \\boxed{79}.",
"index": 24792,
"question": "Suppose a collection of variables is related by the following definitions: j = e + 6; w = d + 18; r = j + 12; k = s + 12; z = o + 15; o = w + 16; y = u + 2; e = d + 18; u = z + 5; x = y + 13; h = r + 15; s = h + 9; d = 10. Given that d = 10, find the value of x.",
"split": "train"
}
|
{"problem": {"rules": {"l": "b + 4", "n": "l + 12", "t": "n + 12", "u": "t + 15", "c": "u + 10", "o": "c + 8", "w": "b + 18", "g": "w + 16", "a": "g + 1", "z": "a + 14", "p": "z + 5", "s": "p + 19", "b": 1}, "premises": {"b": 1}, "target": "o"}, "answer": {"steps": [["c", "u + 10", "u + 18"], ["u", "t + 15", "t + 33"], ["t", "n + 12", "n + 45"], ["n", "l + 12", "l + 57"], ["l", "b + 4", "b + 61"], ["b", 1, "62"]], "target_var_name": "o", "target_value": 62, "value_dict": {"b": 1}, "is_reverse": true}}
| 24,793
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: n = l + 12; w = b + 18; a = g + 1; g = w + 16; l = b + 4; z = a + 14; t = n + 12; s = p + 19; o = c + 8; p = z + 5; c = u + 10; u = t + 15; b = 1. Given that b = 1, find the value of o.",
"role": "user"
}
] |
math
|
{
"ground_truth": 62,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute c = u + 10 to o, which gives o = u + 18.\n2. Substitute u = t + 15 to o, which gives o = t + 33.\n3. Substitute t = n + 12 to o, which gives o = n + 45.\n4. Substitute n = l + 12 to o, which gives o = l + 57.\n5. Substitute l = b + 4 to o, which gives o = b + 61.\n6. Substitute b = 1 to o, which gives o = 62.\n\nThus, the final answer is o = \\boxed{62}.",
"index": 24793,
"question": "Suppose a collection of variables is related by the following definitions: n = l + 12; w = b + 18; a = g + 1; g = w + 16; l = b + 4; z = a + 14; t = n + 12; s = p + 19; o = c + 8; p = z + 5; c = u + 10; u = t + 15; b = 1. Given that b = 1, find the value of o.",
"split": "train"
}
|
{"problem": {"rules": {"v": "r + 5", "u": "v + 14", "p": "u + 5", "b": "p + 11", "g": "b + 13", "f": "g + 16", "i": "r + 15", "w": "i + 17", "m": "w + 9", "h": "m + 11", "n": "h + 4", "e": "n + 1", "r": 6}, "premises": {"r": 6}, "target": "f"}, "answer": {"steps": [["g", "b + 13", "b + 29"], ["b", "p + 11", "p + 40"], ["p", "u + 5", "u + 45"], ["u", "v + 14", "v + 59"], ["v", "r + 5", "r + 64"], ["r", 6, "70"]], "target_var_name": "f", "target_value": 70, "value_dict": {"r": 6}, "is_reverse": true}}
| 24,794
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 4; v = r + 5; r = 6; g = b + 13; f = g + 16; h = m + 11; m = w + 9; u = v + 14; b = p + 11; i = r + 15; e = n + 1; w = i + 17; p = u + 5. If r = 6, what is the resulting value of f?",
"role": "user"
}
] |
math
|
{
"ground_truth": 70,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute g = b + 13 to f, which gives f = b + 29.\n2. Substitute b = p + 11 to f, which gives f = p + 40.\n3. Substitute p = u + 5 to f, which gives f = u + 45.\n4. Substitute u = v + 14 to f, which gives f = v + 59.\n5. Substitute v = r + 5 to f, which gives f = r + 64.\n6. Substitute r = 6 to f, which gives f = 70.\n\nThus, the final answer is f = \\boxed{70}.",
"index": 24794,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: n = h + 4; v = r + 5; r = 6; g = b + 13; f = g + 16; h = m + 11; m = w + 9; u = v + 14; b = p + 11; i = r + 15; e = n + 1; w = i + 17; p = u + 5. If r = 6, what is the resulting value of f?",
"split": "train"
}
|
{"problem": {"rules": {"b": "i + 1", "d": "b + 19", "a": "d + 9", "g": "a + 8", "y": "g + 4", "h": "y + 4", "e": "i + 7", "z": "e + 10", "o": "z + 15", "k": "o + 17", "c": "k + 17", "m": "c + 14", "i": 20}, "premises": {"i": 20}, "target": "h"}, "answer": {"steps": [["y", "g + 4", "g + 8"], ["g", "a + 8", "a + 16"], ["a", "d + 9", "d + 25"], ["d", "b + 19", "b + 44"], ["b", "i + 1", "i + 45"], ["i", 20, "65"]], "target_var_name": "h", "target_value": 65, "value_dict": {"i": 20}, "is_reverse": true}}
| 24,795
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 14; b = i + 1; a = d + 9; y = g + 4; i = 20; g = a + 8; k = o + 17; d = b + 19; c = k + 17; h = y + 4; o = z + 15; e = i + 7; z = e + 10. If i = 20, what is the resulting value of h?",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = g + 4 to h, which gives h = g + 8.\n2. Substitute g = a + 8 to h, which gives h = a + 16.\n3. Substitute a = d + 9 to h, which gives h = d + 25.\n4. Substitute d = b + 19 to h, which gives h = b + 44.\n5. Substitute b = i + 1 to h, which gives h = i + 45.\n6. Substitute i = 20 to h, which gives h = 65.\n\nThus, the final answer is h = \\boxed{65}.",
"index": 24795,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: m = c + 14; b = i + 1; a = d + 9; y = g + 4; i = 20; g = a + 8; k = o + 17; d = b + 19; c = k + 17; h = y + 4; o = z + 15; e = i + 7; z = e + 10. If i = 20, what is the resulting value of h?",
"split": "train"
}
|
{"problem": {"rules": {"h": "j + 4", "w": "h + 10", "t": "w + 16", "v": "t + 5", "x": "v + 12", "s": "x + 7", "z": "j + 8", "r": "z + 4", "y": "r + 18", "a": "y + 16", "k": "a + 5", "q": "k + 4", "j": 11}, "premises": {"j": 11}, "target": "s"}, "answer": {"steps": [["x", "v + 12", "v + 19"], ["v", "t + 5", "t + 24"], ["t", "w + 16", "w + 40"], ["w", "h + 10", "h + 50"], ["h", "j + 4", "j + 54"], ["j", 11, "65"]], "target_var_name": "s", "target_value": 65, "value_dict": {"j": 11}, "is_reverse": true}}
| 24,796
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: s = x + 7; x = v + 12; k = a + 5; y = r + 18; a = y + 16; z = j + 8; j = 11; t = w + 16; v = t + 5; h = j + 4; r = z + 4; q = k + 4; w = h + 10. If j = 11, determine the value of s.",
"role": "user"
}
] |
math
|
{
"ground_truth": 65,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute x = v + 12 to s, which gives s = v + 19.\n2. Substitute v = t + 5 to s, which gives s = t + 24.\n3. Substitute t = w + 16 to s, which gives s = w + 40.\n4. Substitute w = h + 10 to s, which gives s = h + 50.\n5. Substitute h = j + 4 to s, which gives s = j + 54.\n6. Substitute j = 11 to s, which gives s = 65.\n\nThus, the final answer is s = \\boxed{65}.",
"index": 24796,
"question": "Consider a system of variables where each variable is defined as follows: s = x + 7; x = v + 12; k = a + 5; y = r + 18; a = y + 16; z = j + 8; j = 11; t = w + 16; v = t + 5; h = j + 4; r = z + 4; q = k + 4; w = h + 10. If j = 11, determine the value of s.",
"split": "train"
}
|
{"problem": {"rules": {"o": "q + 13", "j": "o + 11", "u": "j + 5", "f": "u + 2", "y": "f + 5", "e": "y + 13", "t": "q + 4", "x": "t + 3", "r": "x + 6", "h": "r + 4", "z": "h + 7", "n": "z + 4", "q": 14}, "premises": {"q": 14}, "target": "e"}, "answer": {"steps": [["y", "f + 5", "f + 18"], ["f", "u + 2", "u + 20"], ["u", "j + 5", "j + 25"], ["j", "o + 11", "o + 36"], ["o", "q + 13", "q + 49"], ["q", 14, "63"]], "target_var_name": "e", "target_value": 63, "value_dict": {"q": 14}, "is_reverse": true}}
| 24,797
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Consider a system of variables where each variable is defined as follows: u = j + 5; h = r + 4; z = h + 7; y = f + 5; r = x + 6; f = u + 2; t = q + 4; x = t + 3; o = q + 13; n = z + 4; e = y + 13; q = 14; j = o + 11. If q = 14, determine the value of e.",
"role": "user"
}
] |
math
|
{
"ground_truth": 63,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute y = f + 5 to e, which gives e = f + 18.\n2. Substitute f = u + 2 to e, which gives e = u + 20.\n3. Substitute u = j + 5 to e, which gives e = j + 25.\n4. Substitute j = o + 11 to e, which gives e = o + 36.\n5. Substitute o = q + 13 to e, which gives e = q + 49.\n6. Substitute q = 14 to e, which gives e = 63.\n\nThus, the final answer is e = \\boxed{63}.",
"index": 24797,
"question": "Consider a system of variables where each variable is defined as follows: u = j + 5; h = r + 4; z = h + 7; y = f + 5; r = x + 6; f = u + 2; t = q + 4; x = t + 3; o = q + 13; n = z + 4; e = y + 13; q = 14; j = o + 11. If q = 14, determine the value of e.",
"split": "train"
}
|
{"problem": {"rules": {"s": "x + 20", "d": "s + 14", "b": "d + 10", "m": "b + 3", "p": "m + 2", "q": "p + 12", "g": "x + 7", "c": "g + 15", "w": "c + 4", "a": "w + 20", "r": "a + 18", "y": "r + 17", "x": 17}, "premises": {"x": 17}, "target": "q"}, "answer": {"steps": [["p", "m + 2", "m + 14"], ["m", "b + 3", "b + 17"], ["b", "d + 10", "d + 27"], ["d", "s + 14", "s + 41"], ["s", "x + 20", "x + 61"], ["x", 17, "78"]], "target_var_name": "q", "target_value": 78, "value_dict": {"x": 17}, "is_reverse": true}}
| 24,798
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Suppose a collection of variables is related by the following definitions: g = x + 7; m = b + 3; b = d + 10; r = a + 18; y = r + 17; w = c + 4; d = s + 14; c = g + 15; x = 17; q = p + 12; s = x + 20; p = m + 2; a = w + 20. Given that x = 17, find the value of q.",
"role": "user"
}
] |
math
|
{
"ground_truth": 78,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute p = m + 2 to q, which gives q = m + 14.\n2. Substitute m = b + 3 to q, which gives q = b + 17.\n3. Substitute b = d + 10 to q, which gives q = d + 27.\n4. Substitute d = s + 14 to q, which gives q = s + 41.\n5. Substitute s = x + 20 to q, which gives q = x + 61.\n6. Substitute x = 17 to q, which gives q = 78.\n\nThus, the final answer is q = \\boxed{78}.",
"index": 24798,
"question": "Suppose a collection of variables is related by the following definitions: g = x + 7; m = b + 3; b = d + 10; r = a + 18; y = r + 17; w = c + 4; d = s + 14; c = g + 15; x = 17; q = p + 12; s = x + 20; p = m + 2; a = w + 20. Given that x = 17, find the value of q.",
"split": "train"
}
|
{"problem": {"rules": {"t": "s + 12", "p": "t + 16", "r": "p + 7", "z": "r + 4", "h": "z + 15", "q": "h + 16", "a": "s + 12", "u": "a + 13", "i": "u + 7", "y": "i + 3", "o": "y + 13", "m": "o + 17", "s": 11}, "premises": {"s": 11}, "target": "q"}, "answer": {"steps": [["h", "z + 15", "z + 31"], ["z", "r + 4", "r + 35"], ["r", "p + 7", "p + 42"], ["p", "t + 16", "t + 58"], ["t", "s + 12", "s + 70"], ["s", 11, "81"]], "target_var_name": "q", "target_value": 81, "value_dict": {"s": 11}, "is_reverse": true}}
| 24,799
| 0
|
pathstar_2_7_reverse
|
math_world_v6_mode_1
|
[
{
"content": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 12; y = i + 3; m = o + 17; s = 11; o = y + 13; r = p + 7; a = s + 12; q = h + 16; p = t + 16; z = r + 4; h = z + 15; u = a + 13; i = u + 7. If s = 11, what is the resulting value of q?",
"role": "user"
}
] |
math
|
{
"ground_truth": 81,
"style": "number"
}
|
{
"answer": "To solve the problem, we compute the variables step by step.\n\n1. Substitute h = z + 15 to q, which gives q = z + 31.\n2. Substitute z = r + 4 to q, which gives q = r + 35.\n3. Substitute r = p + 7 to q, which gives q = p + 42.\n4. Substitute p = t + 16 to q, which gives q = t + 58.\n5. Substitute t = s + 12 to q, which gives q = s + 70.\n6. Substitute s = 11 to q, which gives q = 81.\n\nThus, the final answer is q = \\boxed{81}.",
"index": 24799,
"question": "Let each letter represent a numerical variable. These variables are defined as follows: t = s + 12; y = i + 3; m = o + 17; s = 11; o = y + 13; r = p + 7; a = s + 12; q = h + 16; p = t + 16; z = r + 4; h = z + 15; u = a + 13; i = u + 7. If s = 11, what is the resulting value of q?",
"split": "train"
}
|
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